Least Common Multiple of 12/57, 340/63, 269/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/57, 340/63, 269/606 quickly i.e. 91460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/57, 340/63, 269/606 is 91460.

LCM(12/57, 340/63, 269/606) = 91460

LCM of 12/57, 340/63, 269/606

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 12/57,340/63,269/606

Given numbers are 12/57,340/63,269/606

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 12,340,269

Least Common Multiple of Numerators i.e. LCM of 12,340,269 is 274380.

GCF of Denominators means GCF of 57,63,606 as per the given fractions.

GCF of 57,63,606 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,340,269

LCM of Fractions 12/57,340/63,269/606 is 91460

2 12, 340, 269
2 6, 170, 269
3, 85, 269

∴ So the LCM of the given numbers is 2 x 2 x 3 x 85 x 269 = 274380

Least Common Multiple of 12,340,269 with GCF Formula

Least Common Multiple of 12,340,269 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 12,340,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,340,269) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,340,269) x common factors =1 x 4 = 4

LCM(12,340,269) = ( 12 × 340 × 269 ) / 4

LCM(12,340,269) = 1097520 / 4

LCM(12,340,269) = 274380


Lets's calculate GCF of 57,63,606

3 57, 63, 606
19, 21, 202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274380/3

Therefore the LCM of Fractions 12/57,340/63,269/606 is 91460

Greatest Common Factor of 57,63,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,63,606 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 57,63,606 . The biggest common factor number is the GCF number.
So the greatest common factor 57,63,606 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 12/57, 340/63, 269/606

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 12/57, 340/63, 269/606?

Answer: LCM of Numerators as per given numbers 12/57, 340/63, 269/606 is

LCM of Numerators i.e. for 12,340,269 is 274380

GCF of denominators i.e. for 57,63,606 is 3.

Thus, LCM of Fractions is 91460.Finally, LCM of Fractions for 12/57, 340/63, 269/606 is 91460.