Least Common Multiple of 2272/523, 3004/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2272/523, 3004/357 quickly i.e. 1706272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2272/523, 3004/357 is 1706272.

LCM(2272/523, 3004/357) = 1706272

LCM of 2272/523, 3004/357

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 2272/523,3004/357

Given numbers are 2272/523,3004/357

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 2272,3004

Least Common Multiple of Numerators i.e. LCM of 2272,3004 is 1706272.

GCF of Denominators means GCF of 523,357 as per the given fractions.

GCF of 523,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2272,3004

LCM of Fractions 2272/523,3004/357 is 1706272

2 2272, 3004
2 1136, 1502
568, 751

∴ So the LCM of the given numbers is 2 x 2 x 568 x 751 = 1706272

Least Common Multiple of 2272,3004 with GCF Formula

Least Common Multiple of 2272,3004 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 2272,3004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2272,3004) = 4

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

GCF(2272,3004) x common factors =4 x 1 = 4

LCM(2272,3004) = ( 2272 × 3004 ) / 4

LCM(2272,3004) = 6825088 / 4

LCM(2272,3004) = 1706272


Lets's calculate GCF of 523,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1706272/1

Therefore the LCM of Fractions 2272/523,3004/357 is 1706272

Greatest Common Factor of 523,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,357 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 523,357 . The biggest common factor number is the GCF number.
So the greatest common factor 523,357 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 2272/523, 3004/357

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 2272/523, 3004/357?

Answer: LCM of Numerators as per given numbers 2272/523, 3004/357 is

LCM of Numerators i.e. for 2272,3004 is 1706272

GCF of denominators i.e. for 523,357 is 1.

Thus, LCM of Fractions is 1706272.Finally, LCM of Fractions for 2272/523, 3004/357 is 1706272.