Least Common Multiple of 45/488, 3908/8378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/488, 3908/8378 quickly i.e. 87930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/488, 3908/8378 is 87930.

LCM(45/488, 3908/8378) = 87930

LCM of 45/488, 3908/8378

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 45/488,3908/8378

Given numbers are 45/488,3908/8378

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 45,3908

Least Common Multiple of Numerators i.e. LCM of 45,3908 is 175860.

GCF of Denominators means GCF of 488,8378 as per the given fractions.

GCF of 488,8378 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,3908

LCM of Fractions 45/488,3908/8378 is 87930

Given numbers has no common factors except 1. So, there LCM is their product i.e 175860

Least Common Multiple of 45,3908 with GCF Formula

Least Common Multiple of 45,3908 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 45,3908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,3908) = 1

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

GCF(45,3908) x common factors =1 x 1 = 1

LCM(45,3908) = ( 45 × 3908 ) / 1

LCM(45,3908) = 175860 / 1

LCM(45,3908) = 175860


Lets's calculate GCF of 488,8378

2 488, 8378
244, 4189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175860/2

Therefore the LCM of Fractions 45/488,3908/8378 is 87930

Greatest Common Factor of 488,8378 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,8378 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 8378

List of positive integer factors of 8378 that divides 8378 without a remainder.

1,2,59,71,118,142,4189,8378

Greatest Common Factor

We found the factors 488,8378 . The biggest common factor number is the GCF number.
So the greatest common factor 488,8378 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 45/488, 3908/8378

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 45/488, 3908/8378?

Answer: LCM of Numerators as per given numbers 45/488, 3908/8378 is

LCM of Numerators i.e. for 45,3908 is 175860

GCF of denominators i.e. for 488,8378 is 2.

Thus, LCM of Fractions is 87930.Finally, LCM of Fractions for 45/488, 3908/8378 is 87930.