Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/642, 348/785, 137/521 quickly i.e. 3957108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/642, 348/785, 137/521 is 3957108.
LCM(83/642, 348/785, 137/521) = 3957108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/642,348/785,137/521
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 83,348,137
Least Common Multiple of Numerators i.e. LCM of 83,348,137 is 3957108.
GCF of Denominators means GCF of 642,785,521 as per the given fractions.
GCF of 642,785,521 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,348,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 3957108
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 83,348,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,348,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,348,137) x common factors =1 x 1 = 1
LCM(83,348,137) = ( 83 × 348 × 137 ) / 1
LCM(83,348,137) = 3957108 / 1
LCM(83,348,137) = 3957108
Lets's calculate GCF of 642,785,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3957108/1
Therefore the LCM of Fractions 83/642,348/785,137/521 is 3957108
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Greatest Common Factor
We found the factors 642,785,521 . The biggest common factor number is the GCF number.
So the greatest common factor 642,785,521 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 83/642, 348/785, 137/521?
Answer: LCM of Numerators as per given numbers 83/642, 348/785, 137/521 is
LCM of Numerators i.e. for 83,348,137 is 3957108
GCF of denominators i.e. for 642,785,521 is 1.
Thus, LCM of Fractions is 3957108.Finally, LCM of Fractions for 83/642, 348/785, 137/521 is 3957108.