Least Common Multiple of 87/781, 742/799, 664/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/781, 742/799, 664/128 quickly i.e. 21431928 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, 742/799, 664/128 is 21431928.

LCM(87/781, 742/799, 664/128) = 21431928

LCM of 87/781, 742/799, 664/128

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 87/781,742/799,664/128

Given numbers are 87/781,742/799,664/128

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 87,742,664

Least Common Multiple of Numerators i.e. LCM of 87,742,664 is 21431928.

GCF of Denominators means GCF of 781,799,128 as per the given fractions.

GCF of 781,799,128 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,742,664

LCM of Fractions 87/781,742/799,664/128 is 21431928

2 87, 742, 664
87, 371, 332

∴ So the LCM of the given numbers is 2 x 87 x 371 x 332 = 21431928

Least Common Multiple of 87,742,664 with GCF Formula

Least Common Multiple of 87,742,664 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 87,742,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,742,664) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(87,742,664) x common factors =1 x 2 = 2

LCM(87,742,664) = ( 87 × 742 × 664 ) / 2

LCM(87,742,664) = 42863856 / 2

LCM(87,742,664) = 21431928


Lets's calculate GCF of 781,799,128

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21431928/1

Therefore the LCM of Fractions 87/781,742/799,664/128 is 21431928

Greatest Common Factor of 781,799,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,799,128 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 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Greatest Common Factor

We found the factors 781,799,128 . The biggest common factor number is the GCF number.
So the greatest common factor 781,799,128 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, 742/799, 664/128

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, 742/799, 664/128?

Answer: LCM of Numerators as per given numbers 87/781, 742/799, 664/128 is

LCM of Numerators i.e. for 87,742,664 is 21431928

GCF of denominators i.e. for 781,799,128 is 1.

Thus, LCM of Fractions is 21431928.Finally, LCM of Fractions for 87/781, 742/799, 664/128 is 21431928.