Least Common Multiple of 948/664, 204/453, 527/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 948/664, 204/453, 527/103 quickly i.e. 499596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 948/664, 204/453, 527/103 is 499596.

LCM(948/664, 204/453, 527/103) = 499596

LCM of 948/664, 204/453, 527/103

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 948/664,204/453,527/103

Given numbers are 948/664,204/453,527/103

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 948,204,527

Least Common Multiple of Numerators i.e. LCM of 948,204,527 is 499596.

GCF of Denominators means GCF of 664,453,103 as per the given fractions.

GCF of 664,453,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 948,204,527

LCM of Fractions 948/664,204/453,527/103 is 499596

2 948, 204, 527
2 474, 102, 527
3 237, 51, 527
17 79, 17, 527
79, 1, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 79 x 1 x 31 = 499596

Least Common Multiple of 948,204,527 with GCF Formula

Least Common Multiple of 948,204,527 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 948,204,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,204,527) = 1

common factors(in case of two or more numbers have common factors) = 204

GCF(948,204,527) x common factors =1 x 204 = 204

LCM(948,204,527) = ( 948 × 204 × 527 ) / 204

LCM(948,204,527) = 101917584 / 204

LCM(948,204,527) = 499596


Lets's calculate GCF of 664,453,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499596/1

Therefore the LCM of Fractions 948/664,204/453,527/103 is 499596

Greatest Common Factor of 664,453,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,453,103 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 664,453,103 . The biggest common factor number is the GCF number.
So the greatest common factor 664,453,103 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 948/664, 204/453, 527/103

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 948/664, 204/453, 527/103?

Answer: LCM of Numerators as per given numbers 948/664, 204/453, 527/103 is

LCM of Numerators i.e. for 948,204,527 is 499596

GCF of denominators i.e. for 664,453,103 is 1.

Thus, LCM of Fractions is 499596.Finally, LCM of Fractions for 948/664, 204/453, 527/103 is 499596.