Least Common Multiple of 76/42, 87/64, 23/75, 21/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/42, 87/64, 23/75, 21/697 quickly i.e. 1064532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/42, 87/64, 23/75, 21/697 is 1064532.

LCM(76/42, 87/64, 23/75, 21/697) = 1064532

LCM of 76/42, 87/64, 23/75, 21/697

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 76/42,87/64,23/75,21/697

Given numbers are 76/42,87/64,23/75,21/697

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 76,87,23,21

Least Common Multiple of Numerators i.e. LCM of 76,87,23,21 is 1064532.

GCF of Denominators means GCF of 42,64,75,697 as per the given fractions.

GCF of 42,64,75,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,87,23,21

LCM of Fractions 76/42,87/64,23/75,21/697 is 1064532

3 76, 87, 23, 21
76, 29, 23, 7

∴ So the LCM of the given numbers is 3 x 76 x 29 x 23 x 7 = 1064532

Least Common Multiple of 76,87,23,21 with GCF Formula

Least Common Multiple of 76,87,23,21 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 76,87,23,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,87,23,21) = 1

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

GCF(76,87,23,21) x common factors =1 x 3 = 3

LCM(76,87,23,21) = ( 76 × 87 × 23 × 21 ) / 3

LCM(76,87,23,21) = 3193596 / 3

LCM(76,87,23,21) = 1064532


Lets's calculate GCF of 42,64,75,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1064532/1

Therefore the LCM of Fractions 76/42,87/64,23/75,21/697 is 1064532

Greatest Common Factor of 42,64,75,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,64,75,697 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

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

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 42,64,75,697 . The biggest common factor number is the GCF number.
So the greatest common factor 42,64,75,697 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 76/42, 87/64, 23/75, 21/697

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 76/42, 87/64, 23/75, 21/697?

Answer: LCM of Numerators as per given numbers 76/42, 87/64, 23/75, 21/697 is

LCM of Numerators i.e. for 76,87,23,21 is 1064532

GCF of denominators i.e. for 42,64,75,697 is 1.

Thus, LCM of Fractions is 1064532.Finally, LCM of Fractions for 76/42, 87/64, 23/75, 21/697 is 1064532.