Least Common Multiple of 246/53, 414/43, 255/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 246/53, 414/43, 255/57 quickly i.e. 1442790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 246/53, 414/43, 255/57 is 1442790.

LCM(246/53, 414/43, 255/57) = 1442790

LCM of 246/53, 414/43, 255/57

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 246/53,414/43,255/57

Given numbers are 246/53,414/43,255/57

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 246,414,255

Least Common Multiple of Numerators i.e. LCM of 246,414,255 is 1442790.

GCF of Denominators means GCF of 53,43,57 as per the given fractions.

GCF of 53,43,57 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 246,414,255

LCM of Fractions 246/53,414/43,255/57 is 1442790

2 246, 414, 255
3 123, 207, 255
41, 69, 85

∴ So the LCM of the given numbers is 2 x 3 x 41 x 69 x 85 = 1442790

Least Common Multiple of 246,414,255 with GCF Formula

Least Common Multiple of 246,414,255 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 246,414,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(246,414,255) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(246,414,255) x common factors =3 x 6 = 18

LCM(246,414,255) = ( 246 × 414 × 255 ) / 18

LCM(246,414,255) = 25970220 / 18

LCM(246,414,255) = 1442790


Lets's calculate GCF of 53,43,57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1442790/1

Therefore the LCM of Fractions 246/53,414/43,255/57 is 1442790

Greatest Common Factor of 53,43,57 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,43,57 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 57

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

1,3,19,57

Greatest Common Factor

We found the factors 53,43,57 . The biggest common factor number is the GCF number.
So the greatest common factor 53,43,57 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 246/53, 414/43, 255/57

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 246/53, 414/43, 255/57?

Answer: LCM of Numerators as per given numbers 246/53, 414/43, 255/57 is

LCM of Numerators i.e. for 246,414,255 is 1442790

GCF of denominators i.e. for 53,43,57 is 1.

Thus, LCM of Fractions is 1442790.Finally, LCM of Fractions for 246/53, 414/43, 255/57 is 1442790.