Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/187, 77/927, 600/642 quickly i.e. 46200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/187, 77/927, 600/642 is 46200.
LCM(35/187, 77/927, 600/642) = 46200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/187,77/927,600/642
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 35,77,600
Least Common Multiple of Numerators i.e. LCM of 35,77,600 is 46200.
GCF of Denominators means GCF of 187,927,642 as per the given fractions.
GCF of 187,927,642 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,77,600
5 | 35, 77, 600 |
7 | 7, 77, 120 |
1, 11, 120 |
∴ So the LCM of the given numbers is 5 x 7 x 1 x 11 x 120 = 46200
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 35,77,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,77,600) = 1
common factors(in case of two or more numbers have common factors) = 35
GCF(35,77,600) x common factors =1 x 35 = 35
LCM(35,77,600) = ( 35 × 77 × 600 ) / 35
LCM(35,77,600) = 1617000 / 35
LCM(35,77,600) = 46200
Lets's calculate GCF of 187,927,642
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46200/1
Therefore the LCM of Fractions 35/187,77/927,600/642 is 46200
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 187,927,642 . The biggest common factor number is the GCF number.
So the greatest common factor 187,927,642 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 35/187, 77/927, 600/642?
Answer: LCM of Numerators as per given numbers 35/187, 77/927, 600/642 is
LCM of Numerators i.e. for 35,77,600 is 46200
GCF of denominators i.e. for 187,927,642 is 1.
Thus, LCM of Fractions is 46200.Finally, LCM of Fractions for 35/187, 77/927, 600/642 is 46200.