Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 423/52, 547/58, 959/738 quickly i.e. 221894379/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 423/52, 547/58, 959/738 is 221894379/2.
LCM(423/52, 547/58, 959/738) = 221894379/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 423/52,547/58,959/738
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 423,547,959
Least Common Multiple of Numerators i.e. LCM of 423,547,959 is 221894379.
GCF of Denominators means GCF of 52,58,738 as per the given fractions.
GCF of 52,58,738 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 423,547,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 221894379
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 423,547,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,547,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(423,547,959) x common factors =1 x 1 = 1
LCM(423,547,959) = ( 423 × 547 × 959 ) / 1
LCM(423,547,959) = 221894379 / 1
LCM(423,547,959) = 221894379
Lets's calculate GCF of 52,58,738
2 | 52, 58, 738 |
26, 29, 369 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221894379/2
Therefore the LCM of Fractions 423/52,547/58,959/738 is 221894379/2
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 52,58,738 . The biggest common factor number is the GCF number.
So the greatest common factor 52,58,738 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 423/52, 547/58, 959/738?
Answer: LCM of Numerators as per given numbers 423/52, 547/58, 959/738 is
LCM of Numerators i.e. for 423,547,959 is 221894379
GCF of denominators i.e. for 52,58,738 is 2.
Thus, LCM of Fractions is 221894379/2.Finally, LCM of Fractions for 423/52, 547/58, 959/738 is 221894379/2.