Least Common Multiple of 57/399, 620/458, 124/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/399, 620/458, 124/734 quickly i.e. 35340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/399, 620/458, 124/734 is 35340.

LCM(57/399, 620/458, 124/734) = 35340

LCM of 57/399, 620/458, 124/734

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 57/399,620/458,124/734

Given numbers are 57/399,620/458,124/734

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 57,620,124

Least Common Multiple of Numerators i.e. LCM of 57,620,124 is 35340.

GCF of Denominators means GCF of 399,458,734 as per the given fractions.

GCF of 399,458,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,620,124

LCM of Fractions 57/399,620/458,124/734 is 35340

2 57, 620, 124
2 57, 310, 62
31 57, 155, 31
57, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 31 x 57 x 5 x 1 = 35340

Least Common Multiple of 57,620,124 with GCF Formula

Least Common Multiple of 57,620,124 with GCF Formula

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 57,620,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,620,124) = 1

common factors(in case of two or more numbers have common factors) = 124

GCF(57,620,124) x common factors =1 x 124 = 124

LCM(57,620,124) = ( 57 × 620 × 124 ) / 124

LCM(57,620,124) = 4382160 / 124

LCM(57,620,124) = 35340


Lets's calculate GCF of 399,458,734

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35340/1

Therefore the LCM of Fractions 57/399,620/458,124/734 is 35340

Greatest Common Factor of 399,458,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,458,734 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 399,458,734 . The biggest common factor number is the GCF number.
So the greatest common factor 399,458,734 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 57/399, 620/458, 124/734

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 57/399, 620/458, 124/734?

Answer: LCM of Numerators as per given numbers 57/399, 620/458, 124/734 is

LCM of Numerators i.e. for 57,620,124 is 35340

GCF of denominators i.e. for 399,458,734 is 1.

Thus, LCM of Fractions is 35340.Finally, LCM of Fractions for 57/399, 620/458, 124/734 is 35340.