Least Common Multiple of 400/708, 3390/5916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/708, 3390/5916 quickly i.e. 11300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/708, 3390/5916 is 11300.

LCM(400/708, 3390/5916) = 11300

LCM of 400/708, 3390/5916

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 400/708,3390/5916

Given numbers are 400/708,3390/5916

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 400,3390

Least Common Multiple of Numerators i.e. LCM of 400,3390 is 135600.

GCF of Denominators means GCF of 708,5916 as per the given fractions.

GCF of 708,5916 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,3390

LCM of Fractions 400/708,3390/5916 is 11300

2 400, 3390
5 200, 1695
40, 339

∴ So the LCM of the given numbers is 2 x 5 x 40 x 339 = 135600

Least Common Multiple of 400,3390 with GCF Formula

Least Common Multiple of 400,3390 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 400,3390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,3390) = 10

common factors(in case of two or more numbers have common factors) = 1

GCF(400,3390) x common factors =10 x 1 = 10

LCM(400,3390) = ( 400 × 3390 ) / 10

LCM(400,3390) = 1356000 / 10

LCM(400,3390) = 135600


Lets's calculate GCF of 708,5916

2 708, 5916
2 354, 2958
3 177, 1479
59, 493

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135600/12

Therefore the LCM of Fractions 400/708,3390/5916 is 11300

Greatest Common Factor of 708,5916 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,5916 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 5916

List of positive integer factors of 5916 that divides 5916 without a remainder.

1,2,3,4,6,12,17,29,34,51,58,68,87,102,116,174,204,348,493,986,1479,1972,2958,5916

Greatest Common Factor

We found the factors 708,5916 . The biggest common factor number is the GCF number.
So the greatest common factor 708,5916 is 12.


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 400/708, 3390/5916

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 400/708, 3390/5916?

Answer: LCM of Numerators as per given numbers 400/708, 3390/5916 is

LCM of Numerators i.e. for 400,3390 is 135600

GCF of denominators i.e. for 708,5916 is 12.

Thus, LCM of Fractions is 11300.Finally, LCM of Fractions for 400/708, 3390/5916 is 11300.