Least Common Multiple of 57/196, 1953/2261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/196, 1953/2261 quickly i.e. 5301 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/196, 1953/2261 is 5301.

LCM(57/196, 1953/2261) = 5301

LCM of 57/196, 1953/2261

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 57/196,1953/2261

Given numbers are 57/196,1953/2261

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 57,1953

Least Common Multiple of Numerators i.e. LCM of 57,1953 is 37107.

GCF of Denominators means GCF of 196,2261 as per the given fractions.

GCF of 196,2261 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,1953

LCM of Fractions 57/196,1953/2261 is 5301

3 57, 1953
19, 651

∴ So the LCM of the given numbers is 3 x 19 x 651 = 37107

Least Common Multiple of 57,1953 with GCF Formula

Least Common Multiple of 57,1953 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 57,1953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,1953) = 3

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

GCF(57,1953) x common factors =3 x 1 = 3

LCM(57,1953) = ( 57 × 1953 ) / 3

LCM(57,1953) = 111321 / 3

LCM(57,1953) = 37107


Lets's calculate GCF of 196,2261

7 196, 2261
28, 323

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37107/7

Therefore the LCM of Fractions 57/196,1953/2261 is 5301

Greatest Common Factor of 196,2261 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,2261 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 2261

List of positive integer factors of 2261 that divides 2261 without a remainder.

1,7,17,19,119,133,323,2261

Greatest Common Factor

We found the factors 196,2261 . The biggest common factor number is the GCF number.
So the greatest common factor 196,2261 is 7.


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 57/196, 1953/2261

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 57/196, 1953/2261?

Answer: LCM of Numerators as per given numbers 57/196, 1953/2261 is

LCM of Numerators i.e. for 57,1953 is 37107

GCF of denominators i.e. for 196,2261 is 7.

Thus, LCM of Fractions is 5301.Finally, LCM of Fractions for 57/196, 1953/2261 is 5301.