Least Common Multiple of 290/37, 671/21, 968/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/37, 671/21, 968/256 quickly i.e. 8561960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/37, 671/21, 968/256 is 8561960.

LCM(290/37, 671/21, 968/256) = 8561960

LCM of 290/37, 671/21, 968/256

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 290/37,671/21,968/256

Given numbers are 290/37,671/21,968/256

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 290,671,968

Least Common Multiple of Numerators i.e. LCM of 290,671,968 is 8561960.

GCF of Denominators means GCF of 37,21,256 as per the given fractions.

GCF of 37,21,256 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,671,968

LCM of Fractions 290/37,671/21,968/256 is 8561960

2 290, 671, 968
11 145, 671, 484
145, 61, 44

∴ So the LCM of the given numbers is 2 x 11 x 145 x 61 x 44 = 8561960

Least Common Multiple of 290,671,968 with GCF Formula

Least Common Multiple of 290,671,968 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 290,671,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,671,968) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(290,671,968) x common factors =1 x 22 = 22

LCM(290,671,968) = ( 290 × 671 × 968 ) / 22

LCM(290,671,968) = 188363120 / 22

LCM(290,671,968) = 8561960


Lets's calculate GCF of 37,21,256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8561960/1

Therefore the LCM of Fractions 290/37,671/21,968/256 is 8561960

Greatest Common Factor of 37,21,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,21,256 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 37,21,256 . The biggest common factor number is the GCF number.
So the greatest common factor 37,21,256 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 290/37, 671/21, 968/256

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 290/37, 671/21, 968/256?

Answer: LCM of Numerators as per given numbers 290/37, 671/21, 968/256 is

LCM of Numerators i.e. for 290,671,968 is 8561960

GCF of denominators i.e. for 37,21,256 is 1.

Thus, LCM of Fractions is 8561960.Finally, LCM of Fractions for 290/37, 671/21, 968/256 is 8561960.