Least Common Multiple of 42/177, 180/878, 787/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/177, 180/878, 787/688 quickly i.e. 991620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/177, 180/878, 787/688 is 991620.

LCM(42/177, 180/878, 787/688) = 991620

LCM of 42/177, 180/878, 787/688

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 42/177,180/878,787/688

Given numbers are 42/177,180/878,787/688

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 42,180,787

Least Common Multiple of Numerators i.e. LCM of 42,180,787 is 991620.

GCF of Denominators means GCF of 177,878,688 as per the given fractions.

GCF of 177,878,688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,180,787

LCM of Fractions 42/177,180/878,787/688 is 991620

2 42, 180, 787
3 21, 90, 787
7, 30, 787

∴ So the LCM of the given numbers is 2 x 3 x 7 x 30 x 787 = 991620

Least Common Multiple of 42,180,787 with GCF Formula

Least Common Multiple of 42,180,787 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 42,180,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,180,787) = 1

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

GCF(42,180,787) x common factors =1 x 6 = 6

LCM(42,180,787) = ( 42 × 180 × 787 ) / 6

LCM(42,180,787) = 5949720 / 6

LCM(42,180,787) = 991620


Lets's calculate GCF of 177,878,688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 991620/1

Therefore the LCM of Fractions 42/177,180/878,787/688 is 991620

Greatest Common Factor of 177,878,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,878,688 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

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

Greatest Common Factor

We found the factors 177,878,688 . The biggest common factor number is the GCF number.
So the greatest common factor 177,878,688 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 42/177, 180/878, 787/688

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 42/177, 180/878, 787/688?

Answer: LCM of Numerators as per given numbers 42/177, 180/878, 787/688 is

LCM of Numerators i.e. for 42,180,787 is 991620

GCF of denominators i.e. for 177,878,688 is 1.

Thus, LCM of Fractions is 991620.Finally, LCM of Fractions for 42/177, 180/878, 787/688 is 991620.