Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/453, 157/852, 519/932 quickly i.e. 5051946 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/453, 157/852, 519/932 is 5051946.
LCM(62/453, 157/852, 519/932) = 5051946
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/453,157/852,519/932
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 62,157,519
Least Common Multiple of Numerators i.e. LCM of 62,157,519 is 5051946.
GCF of Denominators means GCF of 453,852,932 as per the given fractions.
GCF of 453,852,932 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,157,519
Given numbers has no common factors except 1. So, there LCM is their product i.e 5051946
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 62,157,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,157,519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,157,519) x common factors =1 x 1 = 1
LCM(62,157,519) = ( 62 × 157 × 519 ) / 1
LCM(62,157,519) = 5051946 / 1
LCM(62,157,519) = 5051946
Lets's calculate GCF of 453,852,932
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5051946/1
Therefore the LCM of Fractions 62/453,157/852,519/932 is 5051946
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Greatest Common Factor
We found the factors 453,852,932 . The biggest common factor number is the GCF number.
So the greatest common factor 453,852,932 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 62/453, 157/852, 519/932?
Answer: LCM of Numerators as per given numbers 62/453, 157/852, 519/932 is
LCM of Numerators i.e. for 62,157,519 is 5051946
GCF of denominators i.e. for 453,852,932 is 1.
Thus, LCM of Fractions is 5051946.Finally, LCM of Fractions for 62/453, 157/852, 519/932 is 5051946.