Least Common Multiple of 654/50, 708/6438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 654/50, 708/6438 quickly i.e. 38586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 654/50, 708/6438 is 38586.

LCM(654/50, 708/6438) = 38586

LCM of 654/50, 708/6438

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 654/50,708/6438

Given numbers are 654/50,708/6438

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 654,708

Least Common Multiple of Numerators i.e. LCM of 654,708 is 77172.

GCF of Denominators means GCF of 50,6438 as per the given fractions.

GCF of 50,6438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 654,708

LCM of Fractions 654/50,708/6438 is 38586

2 654, 708
3 327, 354
109, 118

∴ So the LCM of the given numbers is 2 x 3 x 109 x 118 = 77172

Least Common Multiple of 654,708 with GCF Formula

Least Common Multiple of 654,708 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 654,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,708) = 6

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

GCF(654,708) x common factors =6 x 1 = 6

LCM(654,708) = ( 654 × 708 ) / 6

LCM(654,708) = 463032 / 6

LCM(654,708) = 77172


Lets's calculate GCF of 50,6438

2 50, 6438
25, 3219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77172/2

Therefore the LCM of Fractions 654/50,708/6438 is 38586

Greatest Common Factor of 50,6438 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,6438 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 6438

List of positive integer factors of 6438 that divides 6438 without a remainder.

1,2,3,6,29,37,58,74,87,111,174,222,1073,2146,3219,6438

Greatest Common Factor

We found the factors 50,6438 . The biggest common factor number is the GCF number.
So the greatest common factor 50,6438 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 654/50, 708/6438

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 654/50, 708/6438?

Answer: LCM of Numerators as per given numbers 654/50, 708/6438 is

LCM of Numerators i.e. for 654,708 is 77172

GCF of denominators i.e. for 50,6438 is 2.

Thus, LCM of Fractions is 38586.Finally, LCM of Fractions for 654/50, 708/6438 is 38586.