Least Common Multiple of 69/36, 58/21, 92/74, 32/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/36, 58/21, 92/74, 32/212 quickly i.e. 64032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/36, 58/21, 92/74, 32/212 is 64032.

LCM(69/36, 58/21, 92/74, 32/212) = 64032

LCM of 69/36, 58/21, 92/74, 32/212

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 69/36,58/21,92/74,32/212

Given numbers are 69/36,58/21,92/74,32/212

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 69,58,92,32

Least Common Multiple of Numerators i.e. LCM of 69,58,92,32 is 64032.

GCF of Denominators means GCF of 36,21,74,212 as per the given fractions.

GCF of 36,21,74,212 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,58,92,32

LCM of Fractions 69/36,58/21,92/74,32/212 is 64032

2 69, 58, 92, 32
2 69, 29, 46, 16
23 69, 29, 23, 8
3, 29, 1, 8

∴ So the LCM of the given numbers is 2 x 2 x 23 x 3 x 29 x 1 x 8 = 64032

Least Common Multiple of 69,58,92,32 with GCF Formula

Least Common Multiple of 69,58,92,32 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 69,58,92,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,58,92,32) = 1

common factors(in case of two or more numbers have common factors) = 184

GCF(69,58,92,32) x common factors =1 x 184 = 184

LCM(69,58,92,32) = ( 69 × 58 × 92 × 32 ) / 184

LCM(69,58,92,32) = 11781888 / 184

LCM(69,58,92,32) = 64032


Lets's calculate GCF of 36,21,74,212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64032/1

Therefore the LCM of Fractions 69/36,58/21,92/74,32/212 is 64032

Greatest Common Factor of 36,21,74,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,21,74,212 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 36,21,74,212 . The biggest common factor number is the GCF number.
So the greatest common factor 36,21,74,212 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 69/36, 58/21, 92/74, 32/212

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 69/36, 58/21, 92/74, 32/212?

Answer: LCM of Numerators as per given numbers 69/36, 58/21, 92/74, 32/212 is

LCM of Numerators i.e. for 69,58,92,32 is 64032

GCF of denominators i.e. for 36,21,74,212 is 1.

Thus, LCM of Fractions is 64032.Finally, LCM of Fractions for 69/36, 58/21, 92/74, 32/212 is 64032.