Least Common Multiple of 264/15, 621/89, 657/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/15, 621/89, 657/976 quickly i.e. 3989304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/15, 621/89, 657/976 is 3989304.

LCM(264/15, 621/89, 657/976) = 3989304

LCM of 264/15, 621/89, 657/976

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 264/15,621/89,657/976

Given numbers are 264/15,621/89,657/976

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 264,621,657

Least Common Multiple of Numerators i.e. LCM of 264,621,657 is 3989304.

GCF of Denominators means GCF of 15,89,976 as per the given fractions.

GCF of 15,89,976 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,621,657

LCM of Fractions 264/15,621/89,657/976 is 3989304

3 264, 621, 657
3 88, 207, 219
88, 69, 73

∴ So the LCM of the given numbers is 3 x 3 x 88 x 69 x 73 = 3989304

Least Common Multiple of 264,621,657 with GCF Formula

Least Common Multiple of 264,621,657 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 264,621,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,621,657) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(264,621,657) x common factors =3 x 9 = 27

LCM(264,621,657) = ( 264 × 621 × 657 ) / 27

LCM(264,621,657) = 107711208 / 27

LCM(264,621,657) = 3989304


Lets's calculate GCF of 15,89,976

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3989304/1

Therefore the LCM of Fractions 264/15,621/89,657/976 is 3989304

Greatest Common Factor of 15,89,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,89,976 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 15,89,976 . The biggest common factor number is the GCF number.
So the greatest common factor 15,89,976 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 264/15, 621/89, 657/976

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 264/15, 621/89, 657/976?

Answer: LCM of Numerators as per given numbers 264/15, 621/89, 657/976 is

LCM of Numerators i.e. for 264,621,657 is 3989304

GCF of denominators i.e. for 15,89,976 is 1.

Thus, LCM of Fractions is 3989304.Finally, LCM of Fractions for 264/15, 621/89, 657/976 is 3989304.