Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/708, 254/932, 856/891 quickly i.e. 8153400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/708, 254/932, 856/891 is 8153400.
LCM(75/708, 254/932, 856/891) = 8153400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/708,254/932,856/891
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 75,254,856
Least Common Multiple of Numerators i.e. LCM of 75,254,856 is 8153400.
GCF of Denominators means GCF of 708,932,891 as per the given fractions.
GCF of 708,932,891 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,254,856
2 | 75, 254, 856 |
75, 127, 428 |
∴ So the LCM of the given numbers is 2 x 75 x 127 x 428 = 8153400
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 75,254,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,254,856) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(75,254,856) x common factors =1 x 2 = 2
LCM(75,254,856) = ( 75 × 254 × 856 ) / 2
LCM(75,254,856) = 16306800 / 2
LCM(75,254,856) = 8153400
Lets's calculate GCF of 708,932,891
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8153400/1
Therefore the LCM of Fractions 75/708,254/932,856/891 is 8153400
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 708,932,891 . The biggest common factor number is the GCF number.
So the greatest common factor 708,932,891 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 75/708, 254/932, 856/891?
Answer: LCM of Numerators as per given numbers 75/708, 254/932, 856/891 is
LCM of Numerators i.e. for 75,254,856 is 8153400
GCF of denominators i.e. for 708,932,891 is 1.
Thus, LCM of Fractions is 8153400.Finally, LCM of Fractions for 75/708, 254/932, 856/891 is 8153400.