Least Common Multiple of 215/880, 581/755, 254/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 215/880, 581/755, 254/380 quickly i.e. 6345682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 215/880, 581/755, 254/380 is 6345682.

LCM(215/880, 581/755, 254/380) = 6345682

LCM of 215/880, 581/755, 254/380

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 215/880,581/755,254/380

Given numbers are 215/880,581/755,254/380

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 215,581,254

Least Common Multiple of Numerators i.e. LCM of 215,581,254 is 31728410.

GCF of Denominators means GCF of 880,755,380 as per the given fractions.

GCF of 880,755,380 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 215,581,254

LCM of Fractions 215/880,581/755,254/380 is 6345682

Given numbers has no common factors except 1. So, there LCM is their product i.e 31728410

Least Common Multiple of 215,581,254 with GCF Formula

Least Common Multiple of 215,581,254 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 215,581,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,581,254) = 1

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

GCF(215,581,254) x common factors =1 x 1 = 1

LCM(215,581,254) = ( 215 × 581 × 254 ) / 1

LCM(215,581,254) = 31728410 / 1

LCM(215,581,254) = 31728410


Lets's calculate GCF of 880,755,380

5 880, 755, 380
176, 151, 76

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31728410/5

Therefore the LCM of Fractions 215/880,581/755,254/380 is 6345682

Greatest Common Factor of 880,755,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 880,755,380 By Matching Biggest Common Factor Method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

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 880,755,380 . The biggest common factor number is the GCF number.
So the greatest common factor 880,755,380 is 5.


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 215/880, 581/755, 254/380

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 215/880, 581/755, 254/380?

Answer: LCM of Numerators as per given numbers 215/880, 581/755, 254/380 is

LCM of Numerators i.e. for 215,581,254 is 31728410

GCF of denominators i.e. for 880,755,380 is 5.

Thus, LCM of Fractions is 6345682.Finally, LCM of Fractions for 215/880, 581/755, 254/380 is 6345682.