Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/92, 53/253, 76/687 quickly i.e. 8056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/92, 53/253, 76/687 is 8056.
LCM(8/92, 53/253, 76/687) = 8056
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/92,53/253,76/687
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 8,53,76
Least Common Multiple of Numerators i.e. LCM of 8,53,76 is 8056.
GCF of Denominators means GCF of 92,253,687 as per the given fractions.
GCF of 92,253,687 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,53,76
2 | 8, 53, 76 |
2 | 4, 53, 38 |
2, 53, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 53 x 19 = 8056
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 8,53,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,53,76) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(8,53,76) x common factors =1 x 4 = 4
LCM(8,53,76) = ( 8 × 53 × 76 ) / 4
LCM(8,53,76) = 32224 / 4
LCM(8,53,76) = 8056
Lets's calculate GCF of 92,253,687
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8056/1
Therefore the LCM of Fractions 8/92,53/253,76/687 is 8056
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Greatest Common Factor
We found the factors 92,253,687 . The biggest common factor number is the GCF number.
So the greatest common factor 92,253,687 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 8/92, 53/253, 76/687?
Answer: LCM of Numerators as per given numbers 8/92, 53/253, 76/687 is
LCM of Numerators i.e. for 8,53,76 is 8056
GCF of denominators i.e. for 92,253,687 is 1.
Thus, LCM of Fractions is 8056.Finally, LCM of Fractions for 8/92, 53/253, 76/687 is 8056.