Least Common Multiple of 5428/155, 3994/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5428/155, 3994/271 quickly i.e. 10839716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5428/155, 3994/271 is 10839716.

LCM(5428/155, 3994/271) = 10839716

LCM of 5428/155, 3994/271

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 5428/155,3994/271

Given numbers are 5428/155,3994/271

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 5428,3994

Least Common Multiple of Numerators i.e. LCM of 5428,3994 is 10839716.

GCF of Denominators means GCF of 155,271 as per the given fractions.

GCF of 155,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5428,3994

LCM of Fractions 5428/155,3994/271 is 10839716

2 5428, 3994
2714, 1997

∴ So the LCM of the given numbers is 2 x 2714 x 1997 = 10839716

Least Common Multiple of 5428,3994 with GCF Formula

Least Common Multiple of 5428,3994 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 5428,3994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5428,3994) = 2

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

GCF(5428,3994) x common factors =2 x 1 = 2

LCM(5428,3994) = ( 5428 × 3994 ) / 2

LCM(5428,3994) = 21679432 / 2

LCM(5428,3994) = 10839716


Lets's calculate GCF of 155,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10839716/1

Therefore the LCM of Fractions 5428/155,3994/271 is 10839716

Greatest Common Factor of 155,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 155,271 By Matching Biggest Common Factor Method

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 155,271 . The biggest common factor number is the GCF number.
So the greatest common factor 155,271 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 5428/155, 3994/271

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 5428/155, 3994/271?

Answer: LCM of Numerators as per given numbers 5428/155, 3994/271 is

LCM of Numerators i.e. for 5428,3994 is 10839716

GCF of denominators i.e. for 155,271 is 1.

Thus, LCM of Fractions is 10839716.Finally, LCM of Fractions for 5428/155, 3994/271 is 10839716.