Least Common Multiple of 264/95, 849/98, 767/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 264/95, 849/98, 767/643 quickly i.e. 57304104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/95, 849/98, 767/643 is 57304104.

LCM(264/95, 849/98, 767/643) = 57304104

LCM of 264/95, 849/98, 767/643

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 264/95,849/98,767/643

Given numbers are 264/95,849/98,767/643

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 264,849,767

Least Common Multiple of Numerators i.e. LCM of 264,849,767 is 57304104.

GCF of Denominators means GCF of 95,98,643 as per the given fractions.

GCF of 95,98,643 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,849,767

LCM of Fractions 264/95,849/98,767/643 is 57304104

3 264, 849, 767
88, 283, 767

∴ So the LCM of the given numbers is 3 x 88 x 283 x 767 = 57304104

Least Common Multiple of 264,849,767 with GCF Formula

Least Common Multiple of 264,849,767 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 264,849,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,849,767) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(264,849,767) x common factors =1 x 3 = 3

LCM(264,849,767) = ( 264 × 849 × 767 ) / 3

LCM(264,849,767) = 171912312 / 3

LCM(264,849,767) = 57304104


Lets's calculate GCF of 95,98,643

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57304104/1

Therefore the LCM of Fractions 264/95,849/98,767/643 is 57304104

Greatest Common Factor of 95,98,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,98,643 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Greatest Common Factor

We found the factors 95,98,643 . The biggest common factor number is the GCF number.
So the greatest common factor 95,98,643 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 264/95, 849/98, 767/643

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 264/95, 849/98, 767/643?

Answer: LCM of Numerators as per given numbers 264/95, 849/98, 767/643 is

LCM of Numerators i.e. for 264,849,767 is 57304104

GCF of denominators i.e. for 95,98,643 is 1.

Thus, LCM of Fractions is 57304104.Finally, LCM of Fractions for 264/95, 849/98, 767/643 is 57304104.