Least Common Multiple of 74/51, 62/42, 93/97, 28/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/51, 62/42, 93/97, 28/477 quickly i.e. 96348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/51, 62/42, 93/97, 28/477 is 96348.

LCM(74/51, 62/42, 93/97, 28/477) = 96348

LCM of 74/51, 62/42, 93/97, 28/477

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 74/51,62/42,93/97,28/477

Given numbers are 74/51,62/42,93/97,28/477

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 74,62,93,28

Least Common Multiple of Numerators i.e. LCM of 74,62,93,28 is 96348.

GCF of Denominators means GCF of 51,42,97,477 as per the given fractions.

GCF of 51,42,97,477 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,62,93,28

LCM of Fractions 74/51,62/42,93/97,28/477 is 96348

2 74, 62, 93, 28
31 37, 31, 93, 14
37, 1, 3, 14

∴ So the LCM of the given numbers is 2 x 31 x 37 x 1 x 3 x 14 = 96348

Least Common Multiple of 74,62,93,28 with GCF Formula

Least Common Multiple of 74,62,93,28 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 74,62,93,28 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,62,93,28) = 1

common factors(in case of two or more numbers have common factors) = 124

GCF(74,62,93,28) x common factors =1 x 124 = 124

LCM(74,62,93,28) = ( 74 × 62 × 93 × 28 ) / 124

LCM(74,62,93,28) = 11947152 / 124

LCM(74,62,93,28) = 96348


Lets's calculate GCF of 51,42,97,477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96348/1

Therefore the LCM of Fractions 74/51,62/42,93/97,28/477 is 96348

Greatest Common Factor of 51,42,97,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,42,97,477 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

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 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 51,42,97,477 . The biggest common factor number is the GCF number.
So the greatest common factor 51,42,97,477 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 74/51, 62/42, 93/97, 28/477

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 74/51, 62/42, 93/97, 28/477?

Answer: LCM of Numerators as per given numbers 74/51, 62/42, 93/97, 28/477 is

LCM of Numerators i.e. for 74,62,93,28 is 96348

GCF of denominators i.e. for 51,42,97,477 is 1.

Thus, LCM of Fractions is 96348.Finally, LCM of Fractions for 74/51, 62/42, 93/97, 28/477 is 96348.