Least Common Multiple of 51/260, 385/817, 238/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/260, 385/817, 238/449 quickly i.e. 39270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/260, 385/817, 238/449 is 39270.

LCM(51/260, 385/817, 238/449) = 39270

LCM of 51/260, 385/817, 238/449

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 51/260,385/817,238/449

Given numbers are 51/260,385/817,238/449

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 51,385,238

Least Common Multiple of Numerators i.e. LCM of 51,385,238 is 39270.

GCF of Denominators means GCF of 260,817,449 as per the given fractions.

GCF of 260,817,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,385,238

LCM of Fractions 51/260,385/817,238/449 is 39270

7 51, 385, 238
17 51, 55, 34
3, 55, 2

∴ So the LCM of the given numbers is 7 x 17 x 3 x 55 x 2 = 39270

Least Common Multiple of 51,385,238 with GCF Formula

Least Common Multiple of 51,385,238 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 51,385,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,385,238) = 1

common factors(in case of two or more numbers have common factors) = 119

GCF(51,385,238) x common factors =1 x 119 = 119

LCM(51,385,238) = ( 51 × 385 × 238 ) / 119

LCM(51,385,238) = 4673130 / 119

LCM(51,385,238) = 39270


Lets's calculate GCF of 260,817,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39270/1

Therefore the LCM of Fractions 51/260,385/817,238/449 is 39270

Greatest Common Factor of 260,817,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,817,449 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 260,817,449 . The biggest common factor number is the GCF number.
So the greatest common factor 260,817,449 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 51/260, 385/817, 238/449

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 51/260, 385/817, 238/449?

Answer: LCM of Numerators as per given numbers 51/260, 385/817, 238/449 is

LCM of Numerators i.e. for 51,385,238 is 39270

GCF of denominators i.e. for 260,817,449 is 1.

Thus, LCM of Fractions is 39270.Finally, LCM of Fractions for 51/260, 385/817, 238/449 is 39270.