Least Common Multiple of 162/556, 257/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 162/556, 257/738 quickly i.e. 20817 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 162/556, 257/738 is 20817.

LCM(162/556, 257/738) = 20817

LCM of 162/556, 257/738

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 162/556,257/738

Given numbers are 162/556,257/738

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 162,257

Least Common Multiple of Numerators i.e. LCM of 162,257 is 41634.

GCF of Denominators means GCF of 556,738 as per the given fractions.

GCF of 556,738 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 162,257

LCM of Fractions 162/556,257/738 is 20817

Given numbers has no common factors except 1. So, there LCM is their product i.e 41634

Least Common Multiple of 162,257 with GCF Formula

Least Common Multiple of 162,257 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 162,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,257) = 1

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

GCF(162,257) x common factors =1 x 1 = 1

LCM(162,257) = ( 162 × 257 ) / 1

LCM(162,257) = 41634 / 1

LCM(162,257) = 41634


Lets's calculate GCF of 556,738

2 556, 738
278, 369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41634/2

Therefore the LCM of Fractions 162/556,257/738 is 20817

Greatest Common Factor of 556,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,738 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 556,738 . The biggest common factor number is the GCF number.
So the greatest common factor 556,738 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 162/556, 257/738

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 162/556, 257/738?

Answer: LCM of Numerators as per given numbers 162/556, 257/738 is

LCM of Numerators i.e. for 162,257 is 41634

GCF of denominators i.e. for 556,738 is 2.

Thus, LCM of Fractions is 20817.Finally, LCM of Fractions for 162/556, 257/738 is 20817.