Least Common Multiple of 257/91, 383/67, 520/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 257/91, 383/67, 520/238 quickly i.e. 51184120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 257/91, 383/67, 520/238 is 51184120.

LCM(257/91, 383/67, 520/238) = 51184120

LCM of 257/91, 383/67, 520/238

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 257/91,383/67,520/238

Given numbers are 257/91,383/67,520/238

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 257,383,520

Least Common Multiple of Numerators i.e. LCM of 257,383,520 is 51184120.

GCF of Denominators means GCF of 91,67,238 as per the given fractions.

GCF of 91,67,238 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 257,383,520

LCM of Fractions 257/91,383/67,520/238 is 51184120

Given numbers has no common factors except 1. So, there LCM is their product i.e 51184120

Least Common Multiple of 257,383,520 with GCF Formula

Least Common Multiple of 257,383,520 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 257,383,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,383,520) = 1

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

GCF(257,383,520) x common factors =1 x 1 = 1

LCM(257,383,520) = ( 257 × 383 × 520 ) / 1

LCM(257,383,520) = 51184120 / 1

LCM(257,383,520) = 51184120


Lets's calculate GCF of 91,67,238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51184120/1

Therefore the LCM of Fractions 257/91,383/67,520/238 is 51184120

Greatest Common Factor of 91,67,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,67,238 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 91,67,238 . The biggest common factor number is the GCF number.
So the greatest common factor 91,67,238 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 257/91, 383/67, 520/238

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 257/91, 383/67, 520/238?

Answer: LCM of Numerators as per given numbers 257/91, 383/67, 520/238 is

LCM of Numerators i.e. for 257,383,520 is 51184120

GCF of denominators i.e. for 91,67,238 is 1.

Thus, LCM of Fractions is 51184120.Finally, LCM of Fractions for 257/91, 383/67, 520/238 is 51184120.