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E.g. Multiples of 8 are 8, 16, 24, 32, …
Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, …
In general:
To find the lowest common multiple (LCM) of two or more numbers, list the multiples of the larger number and stop when you find a multiple of the other number. This is the LCM.
Example 3
Find the lowest common multiple of 6 and 9.
Solution:
List the multiples of 9 and stop when you find a multiple of 6.
Multiples of 9 are 9, 18, …
Multiples of 6 are 6, 12, 18, …
Example 4
Find the lowest common multiple of 5, 6 and 8.
Solution:
List the multiples of 8 and stop when you find a multiple of both 5 and 6.
Multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, …
Stop at 120 as it is a multiple of both 5 and 6.
So, the LCM of 5, 6 and 8 is 120.
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What is the use of HCF and LCM?
The HCF helps when reducing fractions. The LCM helps when adding or subtracting fractions.
How do use LCM in the real world?
To add fractions.
What is the LCM for 3.14 and 1.7 in fractions?
The LCM refers to integers, not fractions.
Examples for LCM and HCF we use in daily life?
LCM is used to find the lowest common denominator in fractions HCF is used to reduce fractions to their simplest terms
When do you use LCM in math?
When you want to add or subtract unlike fractions.
What problems can be solved using gcf and LCM?
Finding the LCM will make adding and subtracting fractions easier.
What is the use of HCF and LCM?
The HCF helps when reducing fractions. The LCM helps when adding or subtracting fractions.
How do GCF and LCM involve with the real world?
Use the GCF to reduce fractions. Use the LCM to add and subtract unlike fractions. Carpenters work with fractions a lot.
How do use LCM in the real world?
To add fractions.
When can you use common multiples and factors?
Use the LCM when you are adding and subtracting unlike fractions. Use the GCF when you are simplifying fractions.
How can you use LCM in your daily life?
You would use it when adding fractions.
What are some uses of the LCM?
We use the LCM to find the least common denominator of unlike fractions.
Why would you need to use LCM?
When you are adding or subtracting fractions.
IS THE LCD OF TWO FRACTIONS THE SAME AS THE LCM NUMERATORS AND FRACTIONS?
The LCD of two fractions is the same as the LCM of their denominators.
What is the LCM for 3.14 and 1.7 in fractions?
The LCM refers to integers, not fractions.
Examples for LCM and HCF we use in daily life?
LCM is used to find the lowest common denominator in fractions HCF is used to reduce fractions to their simplest terms
What is a situation where you would use LCM?
To add and subtract unlike fractions.
