Least Common Multiple of 88/10, 89/40, 80/71, 35/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 88/10, 89/40, 80/71, 35/841 quickly i.e. 548240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/10, 89/40, 80/71, 35/841 is 548240.

LCM(88/10, 89/40, 80/71, 35/841) = 548240

LCM of 88/10, 89/40, 80/71, 35/841

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 88/10,89/40,80/71,35/841

Given numbers are 88/10,89/40,80/71,35/841

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 88,89,80,35

Least Common Multiple of Numerators i.e. LCM of 88,89,80,35 is 548240.

GCF of Denominators means GCF of 10,40,71,841 as per the given fractions.

GCF of 10,40,71,841 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,89,80,35

LCM of Fractions 88/10,89/40,80/71,35/841 is 548240

2 88, 89, 80, 35
2 44, 89, 40, 35
2 22, 89, 20, 35
5 11, 89, 10, 35
11, 89, 2, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 89 x 2 x 7 = 548240

Least Common Multiple of 88,89,80,35 with GCF Formula

Least Common Multiple of 88,89,80,35 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 88,89,80,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,89,80,35) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(88,89,80,35) x common factors =1 x 40 = 40

LCM(88,89,80,35) = ( 88 × 89 × 80 × 35 ) / 40

LCM(88,89,80,35) = 21929600 / 40

LCM(88,89,80,35) = 548240


Lets's calculate GCF of 10,40,71,841

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 548240/1

Therefore the LCM of Fractions 88/10,89/40,80/71,35/841 is 548240

Greatest Common Factor of 10,40,71,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,40,71,841 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 10,40,71,841 . The biggest common factor number is the GCF number.
So the greatest common factor 10,40,71,841 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 88/10, 89/40, 80/71, 35/841

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 88/10, 89/40, 80/71, 35/841?

Answer: LCM of Numerators as per given numbers 88/10, 89/40, 80/71, 35/841 is

LCM of Numerators i.e. for 88,89,80,35 is 548240

GCF of denominators i.e. for 10,40,71,841 is 1.

Thus, LCM of Fractions is 548240.Finally, LCM of Fractions for 88/10, 89/40, 80/71, 35/841 is 548240.