Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 951/794, 958/430, 572/854 quickly i.e. 130281294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 951/794, 958/430, 572/854 is 130281294.
LCM(951/794, 958/430, 572/854) = 130281294
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 951/794,958/430,572/854
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 951,958,572
Least Common Multiple of Numerators i.e. LCM of 951,958,572 is 260562588.
GCF of Denominators means GCF of 794,430,854 as per the given fractions.
GCF of 794,430,854 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 951,958,572
2 | 951, 958, 572 |
951, 479, 286 |
∴ So the LCM of the given numbers is 2 x 951 x 479 x 286 = 260562588
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 951,958,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,958,572) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(951,958,572) x common factors =1 x 2 = 2
LCM(951,958,572) = ( 951 × 958 × 572 ) / 2
LCM(951,958,572) = 521125176 / 2
LCM(951,958,572) = 260562588
Lets's calculate GCF of 794,430,854
2 | 794, 430, 854 |
397, 215, 427 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260562588/2
Therefore the LCM of Fractions 951/794,958/430,572/854 is 130281294
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 794,430,854 . The biggest common factor number is the GCF number.
So the greatest common factor 794,430,854 is 2.
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 951/794, 958/430, 572/854?
Answer: LCM of Numerators as per given numbers 951/794, 958/430, 572/854 is
LCM of Numerators i.e. for 951,958,572 is 260562588
GCF of denominators i.e. for 794,430,854 is 2.
Thus, LCM of Fractions is 130281294.Finally, LCM of Fractions for 951/794, 958/430, 572/854 is 130281294.