Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 400/58, 123/19, 854/422 quickly i.e. 21008400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 400/58, 123/19, 854/422 is 21008400.
LCM(400/58, 123/19, 854/422) = 21008400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 400/58,123/19,854/422
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 400,123,854
Least Common Multiple of Numerators i.e. LCM of 400,123,854 is 21008400.
GCF of Denominators means GCF of 58,19,422 as per the given fractions.
GCF of 58,19,422 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 400,123,854
2 | 400, 123, 854 |
200, 123, 427 |
∴ So the LCM of the given numbers is 2 x 200 x 123 x 427 = 21008400
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 400,123,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,123,854) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(400,123,854) x common factors =1 x 2 = 2
LCM(400,123,854) = ( 400 × 123 × 854 ) / 2
LCM(400,123,854) = 42016800 / 2
LCM(400,123,854) = 21008400
Lets's calculate GCF of 58,19,422
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21008400/1
Therefore the LCM of Fractions 400/58,123/19,854/422 is 21008400
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Greatest Common Factor
We found the factors 58,19,422 . The biggest common factor number is the GCF number.
So the greatest common factor 58,19,422 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 400/58, 123/19, 854/422?
Answer: LCM of Numerators as per given numbers 400/58, 123/19, 854/422 is
LCM of Numerators i.e. for 400,123,854 is 21008400
GCF of denominators i.e. for 58,19,422 is 1.
Thus, LCM of Fractions is 21008400.Finally, LCM of Fractions for 400/58, 123/19, 854/422 is 21008400.