Least Common Multiple of 36/688, 42/827, 295/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/688, 42/827, 295/866 quickly i.e. 74340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/688, 42/827, 295/866 is 74340.

LCM(36/688, 42/827, 295/866) = 74340

LCM of 36/688, 42/827, 295/866

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 36/688,42/827,295/866

Given numbers are 36/688,42/827,295/866

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 36,42,295

Least Common Multiple of Numerators i.e. LCM of 36,42,295 is 74340.

GCF of Denominators means GCF of 688,827,866 as per the given fractions.

GCF of 688,827,866 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,42,295

LCM of Fractions 36/688,42/827,295/866 is 74340

2 36, 42, 295
3 18, 21, 295
6, 7, 295

∴ So the LCM of the given numbers is 2 x 3 x 6 x 7 x 295 = 74340

Least Common Multiple of 36,42,295 with GCF Formula

Least Common Multiple of 36,42,295 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 36,42,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,42,295) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(36,42,295) x common factors =1 x 6 = 6

LCM(36,42,295) = ( 36 × 42 × 295 ) / 6

LCM(36,42,295) = 446040 / 6

LCM(36,42,295) = 74340


Lets's calculate GCF of 688,827,866

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74340/1

Therefore the LCM of Fractions 36/688,42/827,295/866 is 74340

Greatest Common Factor of 688,827,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,827,866 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 688,827,866 . The biggest common factor number is the GCF number.
So the greatest common factor 688,827,866 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 36/688, 42/827, 295/866

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 36/688, 42/827, 295/866?

Answer: LCM of Numerators as per given numbers 36/688, 42/827, 295/866 is

LCM of Numerators i.e. for 36,42,295 is 74340

GCF of denominators i.e. for 688,827,866 is 1.

Thus, LCM of Fractions is 74340.Finally, LCM of Fractions for 36/688, 42/827, 295/866 is 74340.