Least Common Multiple of 472/78, 345/4875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 472/78, 345/4875 quickly i.e. 162840/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 472/78, 345/4875 is 162840/39.

LCM(472/78, 345/4875) = 162840/39

LCM of 472/78, 345/4875

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 472/78,345/4875

Given numbers are 472/78,345/4875

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 472,345

Least Common Multiple of Numerators i.e. LCM of 472,345 is 162840.

GCF of Denominators means GCF of 78,4875 as per the given fractions.

GCF of 78,4875 is 39 as it is the largest common factor for these numbers.

Lets's calculate LCM of 472,345

LCM of Fractions 472/78,345/4875 is 162840/39

Given numbers has no common factors except 1. So, there LCM is their product i.e 162840

Least Common Multiple of 472,345 with GCF Formula

Least Common Multiple of 472,345 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 472,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,345) = 1

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

GCF(472,345) x common factors =1 x 1 = 1

LCM(472,345) = ( 472 × 345 ) / 1

LCM(472,345) = 162840 / 1

LCM(472,345) = 162840


Lets's calculate GCF of 78,4875

3 78, 4875
13 26, 1625
2, 125

∴ So the GCF of the given numbers is 3 x 13 = 39

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162840/39

Therefore the LCM of Fractions 472/78,345/4875 is 162840/39

Greatest Common Factor of 78,4875 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,4875 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 4875

List of positive integer factors of 4875 that divides 4875 without a remainder.

1,3,5,13,15,25,39,65,75,125,195,325,375,975,1625,4875

Greatest Common Factor

We found the factors 78,4875 . The biggest common factor number is the GCF number.
So the greatest common factor 78,4875 is 39.


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 472/78, 345/4875

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 472/78, 345/4875?

Answer: LCM of Numerators as per given numbers 472/78, 345/4875 is

LCM of Numerators i.e. for 472,345 is 162840

GCF of denominators i.e. for 78,4875 is 39.

Thus, LCM of Fractions is 162840/39.Finally, LCM of Fractions for 472/78, 345/4875 is 162840/39.