Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/21, 52/92, 99/641 quickly i.e. 72072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/21, 52/92, 99/641 is 72072.
LCM(56/21, 52/92, 99/641) = 72072
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/21,52/92,99/641
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 56,52,99
Least Common Multiple of Numerators i.e. LCM of 56,52,99 is 72072.
GCF of Denominators means GCF of 21,92,641 as per the given fractions.
GCF of 21,92,641 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,52,99
2 | 56, 52, 99 |
2 | 28, 26, 99 |
14, 13, 99 |
∴ So the LCM of the given numbers is 2 x 2 x 14 x 13 x 99 = 72072
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 56,52,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,52,99) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(56,52,99) x common factors =1 x 4 = 4
LCM(56,52,99) = ( 56 × 52 × 99 ) / 4
LCM(56,52,99) = 288288 / 4
LCM(56,52,99) = 72072
Lets's calculate GCF of 21,92,641
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72072/1
Therefore the LCM of Fractions 56/21,52/92,99/641 is 72072
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Greatest Common Factor
We found the factors 21,92,641 . The biggest common factor number is the GCF number.
So the greatest common factor 21,92,641 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 56/21, 52/92, 99/641?
Answer: LCM of Numerators as per given numbers 56/21, 52/92, 99/641 is
LCM of Numerators i.e. for 56,52,99 is 72072
GCF of denominators i.e. for 21,92,641 is 1.
Thus, LCM of Fractions is 72072.Finally, LCM of Fractions for 56/21, 52/92, 99/641 is 72072.