LCM The smallest natural number that can be divided by a particular range of integers is known as the lowest common multiple, or LCM. Since the division of integers by zero is still ill-defined and the numbers cannot equal zero, we use the list of natural numbers. As a result, we substitute natural numbers for whole numbers. LCM is an abbreviation that stands for a1. The symbol for the LCM of the two numbers q and v is LCM (q, v).
Least common multiple (LCM) and Highest Common Factor (HCF) Quiz – Examsegg PRACTICAL APPLICATIONS OF LCM The following fields make use of the LCM technique:
LCM is utilized when calculations are required for an event that is or will happen again. When we need to buy or obtain multiple products to ensure we have enough, we employ LCM. to determine whether a specific event will repeat itself at the same time. In mathematical calculations. Consider the situation where we want to compare, add, or subtract two unlike fractions. The given fractions cannot be added, subtracted, or compared because the denominators are different. In this situation, we must determine the LCM of the denominators, change the fractions into like fractions, and then determine the solution to our problem. Let’s use examples to better understand the applications.
1. Jill works out every 15 days, while Jack works out every 10. Both Jill and Jack work out today. How soon after that will they work out together?
The LCM idea must be applied in order to determine the earliest (least) time at which the occurrence of exercising (many) will occur at the same time (often).
30 is the LCM of 10 and 15. After 30 days, Jack and Jill will work out together.
2. Multiply 2/15 by 7/10.
Since the denominators (10 and 15) differ, we must utilize LCM to change the unlike fractions into like fractions.
30 is the LCM of 10 and 15. 30 is obtained by multiplying 10 by three and 15 by two. In order to transform the fractions into like fractions, they must be multiplied by the same factor.
7/10 * 3 = 21/30;
2/15 * 3 = 6/30;
Adding results in 28/30. To put it simply, we have 14–15.
GCF A number can be divided into two or more equal parts by the largest number, which is known as the greatest common factor ( GCF ).
GCF APPLICATIONS IN REAL LIFE dividing something up into smaller pieces used to determine the number of guests to invite. Sort something into groups or rows. Simon has two pieces of cloth, one of which is 10 inches broad and the other of which is 15 inches wide. He wants to create strips out of both pieces that are as wide as he can make them. What should the strips’ width be?
The strips must be divided into smaller parts (factors of 10 and 15), with the broadest strips being preferred (greatest). HCF must be used as a result.
GCF is 5 for 10 and 15. Consequently, each piece needs to be 5 inches broad.
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