Least Common Multiple of 40/70, 21/40, 688/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/70, 21/40, 688/891 quickly i.e. 72240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/70, 21/40, 688/891 is 72240.

LCM(40/70, 21/40, 688/891) = 72240

LCM of 40/70, 21/40, 688/891

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 40/70,21/40,688/891

Given numbers are 40/70,21/40,688/891

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 40,21,688

Least Common Multiple of Numerators i.e. LCM of 40,21,688 is 72240.

GCF of Denominators means GCF of 70,40,891 as per the given fractions.

GCF of 70,40,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,21,688

LCM of Fractions 40/70,21/40,688/891 is 72240

2 40, 21, 688
2 20, 21, 344
2 10, 21, 172
5, 21, 86

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 21 x 86 = 72240

Least Common Multiple of 40,21,688 with GCF Formula

Least Common Multiple of 40,21,688 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 40,21,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,21,688) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(40,21,688) x common factors =1 x 8 = 8

LCM(40,21,688) = ( 40 × 21 × 688 ) / 8

LCM(40,21,688) = 577920 / 8

LCM(40,21,688) = 72240


Lets's calculate GCF of 70,40,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72240/1

Therefore the LCM of Fractions 40/70,21/40,688/891 is 72240

Greatest Common Factor of 70,40,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,40,891 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 70,40,891 . The biggest common factor number is the GCF number.
So the greatest common factor 70,40,891 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 40/70, 21/40, 688/891

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 40/70, 21/40, 688/891?

Answer: LCM of Numerators as per given numbers 40/70, 21/40, 688/891 is

LCM of Numerators i.e. for 40,21,688 is 72240

GCF of denominators i.e. for 70,40,891 is 1.

Thus, LCM of Fractions is 72240.Finally, LCM of Fractions for 40/70, 21/40, 688/891 is 72240.