Least Common Multiple of 66/710, 57/972, 885/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/710, 57/972, 885/498 quickly i.e. 184965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/710, 57/972, 885/498 is 184965.

LCM(66/710, 57/972, 885/498) = 184965

LCM of 66/710, 57/972, 885/498

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 66/710,57/972,885/498

Given numbers are 66/710,57/972,885/498

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 66,57,885

Least Common Multiple of Numerators i.e. LCM of 66,57,885 is 369930.

GCF of Denominators means GCF of 710,972,498 as per the given fractions.

GCF of 710,972,498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,57,885

LCM of Fractions 66/710,57/972,885/498 is 184965

3 66, 57, 885
22, 19, 295

∴ So the LCM of the given numbers is 3 x 22 x 19 x 295 = 369930

Least Common Multiple of 66,57,885 with GCF Formula

Least Common Multiple of 66,57,885 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 66,57,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,57,885) = 3

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

GCF(66,57,885) x common factors =3 x 3 = 9

LCM(66,57,885) = ( 66 × 57 × 885 ) / 9

LCM(66,57,885) = 3329370 / 9

LCM(66,57,885) = 369930


Lets's calculate GCF of 710,972,498

2 710, 972, 498
355, 486, 249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 369930/2

Therefore the LCM of Fractions 66/710,57/972,885/498 is 184965

Greatest Common Factor of 710,972,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,972,498 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 710,972,498 . The biggest common factor number is the GCF number.
So the greatest common factor 710,972,498 is 2.


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 66/710, 57/972, 885/498

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 66/710, 57/972, 885/498?

Answer: LCM of Numerators as per given numbers 66/710, 57/972, 885/498 is

LCM of Numerators i.e. for 66,57,885 is 369930

GCF of denominators i.e. for 710,972,498 is 2.

Thus, LCM of Fractions is 184965.Finally, LCM of Fractions for 66/710, 57/972, 885/498 is 184965.