Least Common Multiple of 66/772, 217/285, 310/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/772, 217/285, 310/731 quickly i.e. 71610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/772, 217/285, 310/731 is 71610.

LCM(66/772, 217/285, 310/731) = 71610

LCM of 66/772, 217/285, 310/731

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 66/772,217/285,310/731

Given numbers are 66/772,217/285,310/731

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 66,217,310

Least Common Multiple of Numerators i.e. LCM of 66,217,310 is 71610.

GCF of Denominators means GCF of 772,285,731 as per the given fractions.

GCF of 772,285,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,217,310

LCM of Fractions 66/772,217/285,310/731 is 71610

2 66, 217, 310
31 33, 217, 155
33, 7, 5

∴ So the LCM of the given numbers is 2 x 31 x 33 x 7 x 5 = 71610

Least Common Multiple of 66,217,310 with GCF Formula

Least Common Multiple of 66,217,310 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 66,217,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,217,310) = 1

common factors(in case of two or more numbers have common factors) = 62

GCF(66,217,310) x common factors =1 x 62 = 62

LCM(66,217,310) = ( 66 × 217 × 310 ) / 62

LCM(66,217,310) = 4439820 / 62

LCM(66,217,310) = 71610


Lets's calculate GCF of 772,285,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71610/1

Therefore the LCM of Fractions 66/772,217/285,310/731 is 71610

Greatest Common Factor of 772,285,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,285,731 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 772,285,731 . The biggest common factor number is the GCF number.
So the greatest common factor 772,285,731 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 66/772, 217/285, 310/731

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 66/772, 217/285, 310/731?

Answer: LCM of Numerators as per given numbers 66/772, 217/285, 310/731 is

LCM of Numerators i.e. for 66,217,310 is 71610

GCF of denominators i.e. for 772,285,731 is 1.

Thus, LCM of Fractions is 71610.Finally, LCM of Fractions for 66/772, 217/285, 310/731 is 71610.