Least Common Multiple of 92/76, 20/58, 93/90, 29/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/76, 20/58, 93/90, 29/952 quickly i.e. 620310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/76, 20/58, 93/90, 29/952 is 620310.

LCM(92/76, 20/58, 93/90, 29/952) = 620310

LCM of 92/76, 20/58, 93/90, 29/952

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 92/76,20/58,93/90,29/952

Given numbers are 92/76,20/58,93/90,29/952

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 92,20,93,29

Least Common Multiple of Numerators i.e. LCM of 92,20,93,29 is 1240620.

GCF of Denominators means GCF of 76,58,90,952 as per the given fractions.

GCF of 76,58,90,952 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,20,93,29

LCM of Fractions 92/76,20/58,93/90,29/952 is 620310

2 92, 20, 93, 29
2 46, 10, 93, 29
23, 5, 93, 29

∴ So the LCM of the given numbers is 2 x 2 x 23 x 5 x 93 x 29 = 1240620

Least Common Multiple of 92,20,93,29 with GCF Formula

Least Common Multiple of 92,20,93,29 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 92,20,93,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,20,93,29) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,20,93,29) x common factors =1 x 4 = 4

LCM(92,20,93,29) = ( 92 × 20 × 93 × 29 ) / 4

LCM(92,20,93,29) = 4962480 / 4

LCM(92,20,93,29) = 1240620


Lets's calculate GCF of 76,58,90,952

2 76, 58, 90, 952
38, 29, 45, 476

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1240620/2

Therefore the LCM of Fractions 92/76,20/58,93/90,29/952 is 620310

Greatest Common Factor of 76,58,90,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,58,90,952 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 76,58,90,952 . The biggest common factor number is the GCF number.
So the greatest common factor 76,58,90,952 is 2.


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 92/76, 20/58, 93/90, 29/952

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 92/76, 20/58, 93/90, 29/952?

Answer: LCM of Numerators as per given numbers 92/76, 20/58, 93/90, 29/952 is

LCM of Numerators i.e. for 92,20,93,29 is 1240620

GCF of denominators i.e. for 76,58,90,952 is 2.

Thus, LCM of Fractions is 620310.Finally, LCM of Fractions for 92/76, 20/58, 93/90, 29/952 is 620310.