Least Common Multiple of 476/38, 735/5881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 476/38, 735/5881 quickly i.e. 49980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/38, 735/5881 is 49980.

LCM(476/38, 735/5881) = 49980

LCM of 476/38, 735/5881

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 476/38,735/5881

Given numbers are 476/38,735/5881

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 476,735

Least Common Multiple of Numerators i.e. LCM of 476,735 is 49980.

GCF of Denominators means GCF of 38,5881 as per the given fractions.

GCF of 38,5881 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,735

LCM of Fractions 476/38,735/5881 is 49980

7 476, 735
68, 105

∴ So the LCM of the given numbers is 7 x 68 x 105 = 49980

Least Common Multiple of 476,735 with GCF Formula

Least Common Multiple of 476,735 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 476,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,735) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(476,735) x common factors =7 x 1 = 7

LCM(476,735) = ( 476 × 735 ) / 7

LCM(476,735) = 349860 / 7

LCM(476,735) = 49980


Lets's calculate GCF of 38,5881

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49980/1

Therefore the LCM of Fractions 476/38,735/5881 is 49980

Greatest Common Factor of 38,5881 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,5881 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 5881

List of positive integer factors of 5881 that divides 5881 without a remainder.

1,5881

Greatest Common Factor

We found the factors 38,5881 . The biggest common factor number is the GCF number.
So the greatest common factor 38,5881 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 476/38, 735/5881

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 476/38, 735/5881?

Answer: LCM of Numerators as per given numbers 476/38, 735/5881 is

LCM of Numerators i.e. for 476,735 is 49980

GCF of denominators i.e. for 38,5881 is 1.

Thus, LCM of Fractions is 49980.Finally, LCM of Fractions for 476/38, 735/5881 is 49980.