Least Common Multiple of 57/141, 3400/1212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/141, 3400/1212 quickly i.e. 64600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/141, 3400/1212 is 64600.

LCM(57/141, 3400/1212) = 64600

LCM of 57/141, 3400/1212

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 57/141,3400/1212

Given numbers are 57/141,3400/1212

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 57,3400

Least Common Multiple of Numerators i.e. LCM of 57,3400 is 193800.

GCF of Denominators means GCF of 141,1212 as per the given fractions.

GCF of 141,1212 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,3400

LCM of Fractions 57/141,3400/1212 is 64600

Given numbers has no common factors except 1. So, there LCM is their product i.e 193800

Least Common Multiple of 57,3400 with GCF Formula

Least Common Multiple of 57,3400 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 57,3400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,3400) = 1

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

GCF(57,3400) x common factors =1 x 1 = 1

LCM(57,3400) = ( 57 × 3400 ) / 1

LCM(57,3400) = 193800 / 1

LCM(57,3400) = 193800


Lets's calculate GCF of 141,1212

3 141, 1212
47, 404

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193800/3

Therefore the LCM of Fractions 57/141,3400/1212 is 64600

Greatest Common Factor of 141,1212 By Matching Biggest Common Factor Method

Greatest Common Factor of 141,1212 By Matching Biggest Common Factor Method

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Factors of 1212

List of positive integer factors of 1212 that divides 1212 without a remainder.

1,2,3,4,6,12,101,202,303,404,606,1212

Greatest Common Factor

We found the factors 141,1212 . The biggest common factor number is the GCF number.
So the greatest common factor 141,1212 is 3.


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 57/141, 3400/1212

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 57/141, 3400/1212?

Answer: LCM of Numerators as per given numbers 57/141, 3400/1212 is

LCM of Numerators i.e. for 57,3400 is 193800

GCF of denominators i.e. for 141,1212 is 3.

Thus, LCM of Fractions is 64600.Finally, LCM of Fractions for 57/141, 3400/1212 is 64600.