Least Common Multiple of 21/87, 77/40, 651/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/87, 77/40, 651/398 quickly i.e. 7161 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/87, 77/40, 651/398 is 7161.

LCM(21/87, 77/40, 651/398) = 7161

LCM of 21/87, 77/40, 651/398

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 21/87,77/40,651/398

Given numbers are 21/87,77/40,651/398

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 21,77,651

Least Common Multiple of Numerators i.e. LCM of 21,77,651 is 7161.

GCF of Denominators means GCF of 87,40,398 as per the given fractions.

GCF of 87,40,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,77,651

LCM of Fractions 21/87,77/40,651/398 is 7161

3 21, 77, 651
7 7, 77, 217
1, 11, 31

∴ So the LCM of the given numbers is 3 x 7 x 1 x 11 x 31 = 7161

Least Common Multiple of 21,77,651 with GCF Formula

Least Common Multiple of 21,77,651 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 21,77,651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,77,651) = 7

common factors(in case of two or more numbers have common factors) = 21

GCF(21,77,651) x common factors =7 x 21 = 147

LCM(21,77,651) = ( 21 × 77 × 651 ) / 147

LCM(21,77,651) = 1052667 / 147

LCM(21,77,651) = 7161


Lets's calculate GCF of 87,40,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7161/1

Therefore the LCM of Fractions 21/87,77/40,651/398 is 7161

Greatest Common Factor of 87,40,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,40,398 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

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 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 87,40,398 . The biggest common factor number is the GCF number.
So the greatest common factor 87,40,398 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 21/87, 77/40, 651/398

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 21/87, 77/40, 651/398?

Answer: LCM of Numerators as per given numbers 21/87, 77/40, 651/398 is

LCM of Numerators i.e. for 21,77,651 is 7161

GCF of denominators i.e. for 87,40,398 is 1.

Thus, LCM of Fractions is 7161.Finally, LCM of Fractions for 21/87, 77/40, 651/398 is 7161.