Least Common Multiple of 561/54, 953/24, 610/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 561/54, 953/24, 610/760 quickly i.e. 163063065 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/54, 953/24, 610/760 is 163063065.

LCM(561/54, 953/24, 610/760) = 163063065

LCM of 561/54, 953/24, 610/760

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 561/54,953/24,610/760

Given numbers are 561/54,953/24,610/760

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 561,953,610

Least Common Multiple of Numerators i.e. LCM of 561,953,610 is 326126130.

GCF of Denominators means GCF of 54,24,760 as per the given fractions.

GCF of 54,24,760 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,953,610

LCM of Fractions 561/54,953/24,610/760 is 163063065

Given numbers has no common factors except 1. So, there LCM is their product i.e 326126130

Least Common Multiple of 561,953,610 with GCF Formula

Least Common Multiple of 561,953,610 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 561,953,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,953,610) = 1

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

GCF(561,953,610) x common factors =1 x 1 = 1

LCM(561,953,610) = ( 561 × 953 × 610 ) / 1

LCM(561,953,610) = 326126130 / 1

LCM(561,953,610) = 326126130


Lets's calculate GCF of 54,24,760

2 54, 24, 760
27, 12, 380

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326126130/2

Therefore the LCM of Fractions 561/54,953/24,610/760 is 163063065

Greatest Common Factor of 54,24,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,24,760 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 54,24,760 . The biggest common factor number is the GCF number.
So the greatest common factor 54,24,760 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 561/54, 953/24, 610/760

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 561/54, 953/24, 610/760?

Answer: LCM of Numerators as per given numbers 561/54, 953/24, 610/760 is

LCM of Numerators i.e. for 561,953,610 is 326126130

GCF of denominators i.e. for 54,24,760 is 2.

Thus, LCM of Fractions is 163063065.Finally, LCM of Fractions for 561/54, 953/24, 610/760 is 163063065.