Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/536, 979/863, 854/126 quickly i.e. 56016422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/536, 979/863, 854/126 is 56016422.
LCM(67/536, 979/863, 854/126) = 56016422
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/536,979/863,854/126
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 67,979,854
Least Common Multiple of Numerators i.e. LCM of 67,979,854 is 56016422.
GCF of Denominators means GCF of 536,863,126 as per the given fractions.
GCF of 536,863,126 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,979,854
Given numbers has no common factors except 1. So, there LCM is their product i.e 56016422
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 67,979,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,979,854) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,979,854) x common factors =1 x 1 = 1
LCM(67,979,854) = ( 67 × 979 × 854 ) / 1
LCM(67,979,854) = 56016422 / 1
LCM(67,979,854) = 56016422
Lets's calculate GCF of 536,863,126
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56016422/1
Therefore the LCM of Fractions 67/536,979/863,854/126 is 56016422
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 536,863,126 . The biggest common factor number is the GCF number.
So the greatest common factor 536,863,126 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 67/536, 979/863, 854/126?
Answer: LCM of Numerators as per given numbers 67/536, 979/863, 854/126 is
LCM of Numerators i.e. for 67,979,854 is 56016422
GCF of denominators i.e. for 536,863,126 is 1.
Thus, LCM of Fractions is 56016422.Finally, LCM of Fractions for 67/536, 979/863, 854/126 is 56016422.