Least Common Multiple of 1848/221, 1524/7357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1848/221, 1524/7357 quickly i.e. 234696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1848/221, 1524/7357 is 234696.

LCM(1848/221, 1524/7357) = 234696

LCM of 1848/221, 1524/7357

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 1848/221,1524/7357

Given numbers are 1848/221,1524/7357

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 1848,1524

Least Common Multiple of Numerators i.e. LCM of 1848,1524 is 234696.

GCF of Denominators means GCF of 221,7357 as per the given fractions.

GCF of 221,7357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1848,1524

LCM of Fractions 1848/221,1524/7357 is 234696

2 1848, 1524
2 924, 762
3 462, 381
154, 127

∴ So the LCM of the given numbers is 2 x 2 x 3 x 154 x 127 = 234696

Least Common Multiple of 1848,1524 with GCF Formula

Least Common Multiple of 1848,1524 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 1848,1524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1848,1524) = 12

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

GCF(1848,1524) x common factors =12 x 1 = 12

LCM(1848,1524) = ( 1848 × 1524 ) / 12

LCM(1848,1524) = 2816352 / 12

LCM(1848,1524) = 234696


Lets's calculate GCF of 221,7357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234696/1

Therefore the LCM of Fractions 1848/221,1524/7357 is 234696

Greatest Common Factor of 221,7357 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,7357 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 7357

List of positive integer factors of 7357 that divides 7357 without a remainder.

1,7,1051,7357

Greatest Common Factor

We found the factors 221,7357 . The biggest common factor number is the GCF number.
So the greatest common factor 221,7357 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 1848/221, 1524/7357

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 1848/221, 1524/7357?

Answer: LCM of Numerators as per given numbers 1848/221, 1524/7357 is

LCM of Numerators i.e. for 1848,1524 is 234696

GCF of denominators i.e. for 221,7357 is 1.

Thus, LCM of Fractions is 234696.Finally, LCM of Fractions for 1848/221, 1524/7357 is 234696.