Least Common Multiple of 61/38, 43/896, 254/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/38, 43/896, 254/270 quickly i.e. 333121 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/38, 43/896, 254/270 is 333121.

LCM(61/38, 43/896, 254/270) = 333121

LCM of 61/38, 43/896, 254/270

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 61/38,43/896,254/270

Given numbers are 61/38,43/896,254/270

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 61,43,254

Least Common Multiple of Numerators i.e. LCM of 61,43,254 is 666242.

GCF of Denominators means GCF of 38,896,270 as per the given fractions.

GCF of 38,896,270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,43,254

LCM of Fractions 61/38,43/896,254/270 is 333121

Given numbers has no common factors except 1. So, there LCM is their product i.e 666242

Least Common Multiple of 61,43,254 with GCF Formula

Least Common Multiple of 61,43,254 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 61,43,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,43,254) = 1

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

GCF(61,43,254) x common factors =1 x 1 = 1

LCM(61,43,254) = ( 61 × 43 × 254 ) / 1

LCM(61,43,254) = 666242 / 1

LCM(61,43,254) = 666242


Lets's calculate GCF of 38,896,270

2 38, 896, 270
19, 448, 135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 666242/2

Therefore the LCM of Fractions 61/38,43/896,254/270 is 333121

Greatest Common Factor of 38,896,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,896,270 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 38,896,270 . The biggest common factor number is the GCF number.
So the greatest common factor 38,896,270 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 61/38, 43/896, 254/270

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 61/38, 43/896, 254/270?

Answer: LCM of Numerators as per given numbers 61/38, 43/896, 254/270 is

LCM of Numerators i.e. for 61,43,254 is 666242

GCF of denominators i.e. for 38,896,270 is 2.

Thus, LCM of Fractions is 333121.Finally, LCM of Fractions for 61/38, 43/896, 254/270 is 333121.