Least Common Multiple of 17/948, 64/271, 747/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/948, 64/271, 747/468 quickly i.e. 812736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/948, 64/271, 747/468 is 812736.

LCM(17/948, 64/271, 747/468) = 812736

LCM of 17/948, 64/271, 747/468

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 17/948,64/271,747/468

Given numbers are 17/948,64/271,747/468

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 17,64,747

Least Common Multiple of Numerators i.e. LCM of 17,64,747 is 812736.

GCF of Denominators means GCF of 948,271,468 as per the given fractions.

GCF of 948,271,468 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,64,747

LCM of Fractions 17/948,64/271,747/468 is 812736

Given numbers has no common factors except 1. So, there LCM is their product i.e 812736

Least Common Multiple of 17,64,747 with GCF Formula

Least Common Multiple of 17,64,747 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 17,64,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,64,747) = 1

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

GCF(17,64,747) x common factors =1 x 1 = 1

LCM(17,64,747) = ( 17 × 64 × 747 ) / 1

LCM(17,64,747) = 812736 / 1

LCM(17,64,747) = 812736


Lets's calculate GCF of 948,271,468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 812736/1

Therefore the LCM of Fractions 17/948,64/271,747/468 is 812736

Greatest Common Factor of 948,271,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,271,468 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 948,271,468 . The biggest common factor number is the GCF number.
So the greatest common factor 948,271,468 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/948, 64/271, 747/468

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 17/948, 64/271, 747/468?

Answer: LCM of Numerators as per given numbers 17/948, 64/271, 747/468 is

LCM of Numerators i.e. for 17,64,747 is 812736

GCF of denominators i.e. for 948,271,468 is 1.

Thus, LCM of Fractions is 812736.Finally, LCM of Fractions for 17/948, 64/271, 747/468 is 812736.