Least Common Multiple of 53/276, 147/530, 222/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/276, 147/530, 222/366 quickly i.e. 288267 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/276, 147/530, 222/366 is 288267.

LCM(53/276, 147/530, 222/366) = 288267

LCM of 53/276, 147/530, 222/366

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 53/276,147/530,222/366

Given numbers are 53/276,147/530,222/366

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 53,147,222

Least Common Multiple of Numerators i.e. LCM of 53,147,222 is 576534.

GCF of Denominators means GCF of 276,530,366 as per the given fractions.

GCF of 276,530,366 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,147,222

LCM of Fractions 53/276,147/530,222/366 is 288267

3 53, 147, 222
53, 49, 74

∴ So the LCM of the given numbers is 3 x 53 x 49 x 74 = 576534

Least Common Multiple of 53,147,222 with GCF Formula

Least Common Multiple of 53,147,222 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 53,147,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,147,222) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(53,147,222) x common factors =1 x 3 = 3

LCM(53,147,222) = ( 53 × 147 × 222 ) / 3

LCM(53,147,222) = 1729602 / 3

LCM(53,147,222) = 576534


Lets's calculate GCF of 276,530,366

2 276, 530, 366
138, 265, 183

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 576534/2

Therefore the LCM of Fractions 53/276,147/530,222/366 is 288267

Greatest Common Factor of 276,530,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,530,366 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 276,530,366 . The biggest common factor number is the GCF number.
So the greatest common factor 276,530,366 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 53/276, 147/530, 222/366

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 53/276, 147/530, 222/366?

Answer: LCM of Numerators as per given numbers 53/276, 147/530, 222/366 is

LCM of Numerators i.e. for 53,147,222 is 576534

GCF of denominators i.e. for 276,530,366 is 2.

Thus, LCM of Fractions is 288267.Finally, LCM of Fractions for 53/276, 147/530, 222/366 is 288267.