Least Common Multiple of 544/55, 215/26, 157/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 544/55, 215/26, 157/292 quickly i.e. 18362720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 544/55, 215/26, 157/292 is 18362720.

LCM(544/55, 215/26, 157/292) = 18362720

LCM of 544/55, 215/26, 157/292

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 544/55,215/26,157/292

Given numbers are 544/55,215/26,157/292

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 544,215,157

Least Common Multiple of Numerators i.e. LCM of 544,215,157 is 18362720.

GCF of Denominators means GCF of 55,26,292 as per the given fractions.

GCF of 55,26,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 544,215,157

LCM of Fractions 544/55,215/26,157/292 is 18362720

Given numbers has no common factors except 1. So, there LCM is their product i.e 18362720

Least Common Multiple of 544,215,157 with GCF Formula

Least Common Multiple of 544,215,157 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 544,215,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,215,157) = 1

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

GCF(544,215,157) x common factors =1 x 1 = 1

LCM(544,215,157) = ( 544 × 215 × 157 ) / 1

LCM(544,215,157) = 18362720 / 1

LCM(544,215,157) = 18362720


Lets's calculate GCF of 55,26,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18362720/1

Therefore the LCM of Fractions 544/55,215/26,157/292 is 18362720

Greatest Common Factor of 55,26,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,26,292 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 55,26,292 . The biggest common factor number is the GCF number.
So the greatest common factor 55,26,292 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 544/55, 215/26, 157/292

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 544/55, 215/26, 157/292?

Answer: LCM of Numerators as per given numbers 544/55, 215/26, 157/292 is

LCM of Numerators i.e. for 544,215,157 is 18362720

GCF of denominators i.e. for 55,26,292 is 1.

Thus, LCM of Fractions is 18362720.Finally, LCM of Fractions for 544/55, 215/26, 157/292 is 18362720.