Least Common Multiple of 52/153, 23/924, 256/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/153, 23/924, 256/980 quickly i.e. 76544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/153, 23/924, 256/980 is 76544.

LCM(52/153, 23/924, 256/980) = 76544

LCM of 52/153, 23/924, 256/980

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 52/153,23/924,256/980

Given numbers are 52/153,23/924,256/980

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 52,23,256

Least Common Multiple of Numerators i.e. LCM of 52,23,256 is 76544.

GCF of Denominators means GCF of 153,924,980 as per the given fractions.

GCF of 153,924,980 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,23,256

LCM of Fractions 52/153,23/924,256/980 is 76544

2 52, 23, 256
2 26, 23, 128
13, 23, 64

∴ So the LCM of the given numbers is 2 x 2 x 13 x 23 x 64 = 76544

Least Common Multiple of 52,23,256 with GCF Formula

Least Common Multiple of 52,23,256 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 52,23,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,23,256) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,23,256) x common factors =1 x 4 = 4

LCM(52,23,256) = ( 52 × 23 × 256 ) / 4

LCM(52,23,256) = 306176 / 4

LCM(52,23,256) = 76544


Lets's calculate GCF of 153,924,980

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76544/1

Therefore the LCM of Fractions 52/153,23/924,256/980 is 76544

Greatest Common Factor of 153,924,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,924,980 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

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 153,924,980 . The biggest common factor number is the GCF number.
So the greatest common factor 153,924,980 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 52/153, 23/924, 256/980

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 52/153, 23/924, 256/980?

Answer: LCM of Numerators as per given numbers 52/153, 23/924, 256/980 is

LCM of Numerators i.e. for 52,23,256 is 76544

GCF of denominators i.e. for 153,924,980 is 1.

Thus, LCM of Fractions is 76544.Finally, LCM of Fractions for 52/153, 23/924, 256/980 is 76544.