Least Common Multiple of 252/36, 222/5698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/36, 222/5698 quickly i.e. 4662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/36, 222/5698 is 4662.

LCM(252/36, 222/5698) = 4662

LCM of 252/36, 222/5698

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 252/36,222/5698

Given numbers are 252/36,222/5698

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 252,222

Least Common Multiple of Numerators i.e. LCM of 252,222 is 9324.

GCF of Denominators means GCF of 36,5698 as per the given fractions.

GCF of 36,5698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,222

LCM of Fractions 252/36,222/5698 is 4662

2 252, 222
3 126, 111
42, 37

∴ So the LCM of the given numbers is 2 x 3 x 42 x 37 = 9324

Least Common Multiple of 252,222 with GCF Formula

Least Common Multiple of 252,222 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 252,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,222) = 6

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

GCF(252,222) x common factors =6 x 1 = 6

LCM(252,222) = ( 252 × 222 ) / 6

LCM(252,222) = 55944 / 6

LCM(252,222) = 9324


Lets's calculate GCF of 36,5698

2 36, 5698
18, 2849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9324/2

Therefore the LCM of Fractions 252/36,222/5698 is 4662

Greatest Common Factor of 36,5698 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,5698 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 5698

List of positive integer factors of 5698 that divides 5698 without a remainder.

1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698

Greatest Common Factor

We found the factors 36,5698 . The biggest common factor number is the GCF number.
So the greatest common factor 36,5698 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 252/36, 222/5698

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 252/36, 222/5698?

Answer: LCM of Numerators as per given numbers 252/36, 222/5698 is

LCM of Numerators i.e. for 252,222 is 9324

GCF of denominators i.e. for 36,5698 is 2.

Thus, LCM of Fractions is 4662.Finally, LCM of Fractions for 252/36, 222/5698 is 4662.