Least Common Multiple of 8781/352, 8951/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8781/352, 8951/380 quickly i.e. 78598731/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8781/352, 8951/380 is 78598731/4.

LCM(8781/352, 8951/380) = 78598731/4

LCM of 8781/352, 8951/380

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 8781/352,8951/380

Given numbers are 8781/352,8951/380

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 8781,8951

Least Common Multiple of Numerators i.e. LCM of 8781,8951 is 78598731.

GCF of Denominators means GCF of 352,380 as per the given fractions.

GCF of 352,380 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8781,8951

LCM of Fractions 8781/352,8951/380 is 78598731/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 78598731

Least Common Multiple of 8781,8951 with GCF Formula

Least Common Multiple of 8781,8951 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 8781,8951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8781,8951) = 1

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

GCF(8781,8951) x common factors =1 x 1 = 1

LCM(8781,8951) = ( 8781 × 8951 ) / 1

LCM(8781,8951) = 78598731 / 1

LCM(8781,8951) = 78598731


Lets's calculate GCF of 352,380

2 352, 380
2 176, 190
88, 95

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78598731/4

Therefore the LCM of Fractions 8781/352,8951/380 is 78598731/4

Greatest Common Factor of 352,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,380 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 352,380 . The biggest common factor number is the GCF number.
So the greatest common factor 352,380 is 4.


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 8781/352, 8951/380

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 8781/352, 8951/380?

Answer: LCM of Numerators as per given numbers 8781/352, 8951/380 is

LCM of Numerators i.e. for 8781,8951 is 78598731

GCF of denominators i.e. for 352,380 is 4.

Thus, LCM of Fractions is 78598731/4.Finally, LCM of Fractions for 8781/352, 8951/380 is 78598731/4.