Least Common Multiple of 3175/472, 5936/5064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3175/472, 5936/5064 quickly i.e. 2355850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3175/472, 5936/5064 is 2355850.

LCM(3175/472, 5936/5064) = 2355850

LCM of 3175/472, 5936/5064

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 3175/472,5936/5064

Given numbers are 3175/472,5936/5064

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 3175,5936

Least Common Multiple of Numerators i.e. LCM of 3175,5936 is 18846800.

GCF of Denominators means GCF of 472,5064 as per the given fractions.

GCF of 472,5064 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3175,5936

LCM of Fractions 3175/472,5936/5064 is 2355850

Given numbers has no common factors except 1. So, there LCM is their product i.e 18846800

Least Common Multiple of 3175,5936 with GCF Formula

Least Common Multiple of 3175,5936 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 3175,5936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3175,5936) = 1

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

GCF(3175,5936) x common factors =1 x 1 = 1

LCM(3175,5936) = ( 3175 × 5936 ) / 1

LCM(3175,5936) = 18846800 / 1

LCM(3175,5936) = 18846800


Lets's calculate GCF of 472,5064

2 472, 5064
2 236, 2532
2 118, 1266
59, 633

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18846800/8

Therefore the LCM of Fractions 3175/472,5936/5064 is 2355850

Greatest Common Factor of 472,5064 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,5064 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 5064

List of positive integer factors of 5064 that divides 5064 without a remainder.

1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064

Greatest Common Factor

We found the factors 472,5064 . The biggest common factor number is the GCF number.
So the greatest common factor 472,5064 is 8.


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 3175/472, 5936/5064

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 3175/472, 5936/5064?

Answer: LCM of Numerators as per given numbers 3175/472, 5936/5064 is

LCM of Numerators i.e. for 3175,5936 is 18846800

GCF of denominators i.e. for 472,5064 is 8.

Thus, LCM of Fractions is 2355850.Finally, LCM of Fractions for 3175/472, 5936/5064 is 2355850.