Least Common Multiple of 87/781, 723/108, 869/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/781, 723/108, 869/234 quickly i.e. 18220323 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/781, 723/108, 869/234 is 18220323.

LCM(87/781, 723/108, 869/234) = 18220323

LCM of 87/781, 723/108, 869/234

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 87/781,723/108,869/234

Given numbers are 87/781,723/108,869/234

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 87,723,869

Least Common Multiple of Numerators i.e. LCM of 87,723,869 is 18220323.

GCF of Denominators means GCF of 781,108,234 as per the given fractions.

GCF of 781,108,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,723,869

LCM of Fractions 87/781,723/108,869/234 is 18220323

3 87, 723, 869
29, 241, 869

∴ So the LCM of the given numbers is 3 x 29 x 241 x 869 = 18220323

Least Common Multiple of 87,723,869 with GCF Formula

Least Common Multiple of 87,723,869 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 87,723,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,723,869) = 1

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

GCF(87,723,869) x common factors =1 x 3 = 3

LCM(87,723,869) = ( 87 × 723 × 869 ) / 3

LCM(87,723,869) = 54660969 / 3

LCM(87,723,869) = 18220323


Lets's calculate GCF of 781,108,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18220323/1

Therefore the LCM of Fractions 87/781,723/108,869/234 is 18220323

Greatest Common Factor of 781,108,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,108,234 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 781,108,234 . The biggest common factor number is the GCF number.
So the greatest common factor 781,108,234 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 87/781, 723/108, 869/234

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 87/781, 723/108, 869/234?

Answer: LCM of Numerators as per given numbers 87/781, 723/108, 869/234 is

LCM of Numerators i.e. for 87,723,869 is 18220323

GCF of denominators i.e. for 781,108,234 is 1.

Thus, LCM of Fractions is 18220323.Finally, LCM of Fractions for 87/781, 723/108, 869/234 is 18220323.