Least Common Multiple of 356/252, 1818/1296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 356/252, 1818/1296 quickly i.e. 8989 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 356/252, 1818/1296 is 8989.

LCM(356/252, 1818/1296) = 8989

LCM of 356/252, 1818/1296

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 356/252,1818/1296

Given numbers are 356/252,1818/1296

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 356,1818

Least Common Multiple of Numerators i.e. LCM of 356,1818 is 323604.

GCF of Denominators means GCF of 252,1296 as per the given fractions.

GCF of 252,1296 is 36 as it is the largest common factor for these numbers.

Lets's calculate LCM of 356,1818

LCM of Fractions 356/252,1818/1296 is 8989

2 356, 1818
178, 909

∴ So the LCM of the given numbers is 2 x 178 x 909 = 323604

Least Common Multiple of 356,1818 with GCF Formula

Least Common Multiple of 356,1818 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 356,1818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,1818) = 2

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

GCF(356,1818) x common factors =2 x 1 = 2

LCM(356,1818) = ( 356 × 1818 ) / 2

LCM(356,1818) = 647208 / 2

LCM(356,1818) = 323604


Lets's calculate GCF of 252,1296

2 252, 1296
2 126, 648
3 63, 324
3 21, 108
7, 36

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323604/36

Therefore the LCM of Fractions 356/252,1818/1296 is 8989

Greatest Common Factor of 252,1296 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,1296 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 1296

List of positive integer factors of 1296 that divides 1296 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,324,432,648,1296

Greatest Common Factor

We found the factors 252,1296 . The biggest common factor number is the GCF number.
So the greatest common factor 252,1296 is 36.


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 356/252, 1818/1296

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 356/252, 1818/1296?

Answer: LCM of Numerators as per given numbers 356/252, 1818/1296 is

LCM of Numerators i.e. for 356,1818 is 323604

GCF of denominators i.e. for 252,1296 is 36.

Thus, LCM of Fractions is 8989.Finally, LCM of Fractions for 356/252, 1818/1296 is 8989.