Least Common Multiple of 23/536, 476/121, 591/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/536, 476/121, 591/980 quickly i.e. 6470268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/536, 476/121, 591/980 is 6470268.

LCM(23/536, 476/121, 591/980) = 6470268

LCM of 23/536, 476/121, 591/980

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 23/536,476/121,591/980

Given numbers are 23/536,476/121,591/980

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 23,476,591

Least Common Multiple of Numerators i.e. LCM of 23,476,591 is 6470268.

GCF of Denominators means GCF of 536,121,980 as per the given fractions.

GCF of 536,121,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,476,591

LCM of Fractions 23/536,476/121,591/980 is 6470268

Given numbers has no common factors except 1. So, there LCM is their product i.e 6470268

Least Common Multiple of 23,476,591 with GCF Formula

Least Common Multiple of 23,476,591 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 23,476,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,476,591) = 1

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

GCF(23,476,591) x common factors =1 x 1 = 1

LCM(23,476,591) = ( 23 × 476 × 591 ) / 1

LCM(23,476,591) = 6470268 / 1

LCM(23,476,591) = 6470268


Lets's calculate GCF of 536,121,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6470268/1

Therefore the LCM of Fractions 23/536,476/121,591/980 is 6470268

Greatest Common Factor of 536,121,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,121,980 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 536,121,980 . The biggest common factor number is the GCF number.
So the greatest common factor 536,121,980 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 23/536, 476/121, 591/980

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 23/536, 476/121, 591/980?

Answer: LCM of Numerators as per given numbers 23/536, 476/121, 591/980 is

LCM of Numerators i.e. for 23,476,591 is 6470268

GCF of denominators i.e. for 536,121,980 is 1.

Thus, LCM of Fractions is 6470268.Finally, LCM of Fractions for 23/536, 476/121, 591/980 is 6470268.