Least Common Multiple of 547/83, 523/34, 943/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 547/83, 523/34, 943/908 quickly i.e. 269774383 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 547/83, 523/34, 943/908 is 269774383.

LCM(547/83, 523/34, 943/908) = 269774383

LCM of 547/83, 523/34, 943/908

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 547/83,523/34,943/908

Given numbers are 547/83,523/34,943/908

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 547,523,943

Least Common Multiple of Numerators i.e. LCM of 547,523,943 is 269774383.

GCF of Denominators means GCF of 83,34,908 as per the given fractions.

GCF of 83,34,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 547,523,943

LCM of Fractions 547/83,523/34,943/908 is 269774383

Given numbers has no common factors except 1. So, there LCM is their product i.e 269774383

Least Common Multiple of 547,523,943 with GCF Formula

Least Common Multiple of 547,523,943 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 547,523,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,523,943) = 1

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

GCF(547,523,943) x common factors =1 x 1 = 1

LCM(547,523,943) = ( 547 × 523 × 943 ) / 1

LCM(547,523,943) = 269774383 / 1

LCM(547,523,943) = 269774383


Lets's calculate GCF of 83,34,908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269774383/1

Therefore the LCM of Fractions 547/83,523/34,943/908 is 269774383

Greatest Common Factor of 83,34,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,34,908 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 83,34,908 . The biggest common factor number is the GCF number.
So the greatest common factor 83,34,908 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 547/83, 523/34, 943/908

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 547/83, 523/34, 943/908?

Answer: LCM of Numerators as per given numbers 547/83, 523/34, 943/908 is

LCM of Numerators i.e. for 547,523,943 is 269774383

GCF of denominators i.e. for 83,34,908 is 1.

Thus, LCM of Fractions is 269774383.Finally, LCM of Fractions for 547/83, 523/34, 943/908 is 269774383.