Least Common Multiple of 867/271, 651/457, 344/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 867/271, 651/457, 344/263 quickly i.e. 64719816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/271, 651/457, 344/263 is 64719816.

LCM(867/271, 651/457, 344/263) = 64719816

LCM of 867/271, 651/457, 344/263

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 867/271,651/457,344/263

Given numbers are 867/271,651/457,344/263

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 867,651,344

Least Common Multiple of Numerators i.e. LCM of 867,651,344 is 64719816.

GCF of Denominators means GCF of 271,457,263 as per the given fractions.

GCF of 271,457,263 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,651,344

LCM of Fractions 867/271,651/457,344/263 is 64719816

3 867, 651, 344
289, 217, 344

∴ So the LCM of the given numbers is 3 x 289 x 217 x 344 = 64719816

Least Common Multiple of 867,651,344 with GCF Formula

Least Common Multiple of 867,651,344 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 867,651,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,651,344) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(867,651,344) x common factors =1 x 3 = 3

LCM(867,651,344) = ( 867 × 651 × 344 ) / 3

LCM(867,651,344) = 194159448 / 3

LCM(867,651,344) = 64719816


Lets's calculate GCF of 271,457,263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64719816/1

Therefore the LCM of Fractions 867/271,651/457,344/263 is 64719816

Greatest Common Factor of 271,457,263 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,457,263 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Greatest Common Factor

We found the factors 271,457,263 . The biggest common factor number is the GCF number.
So the greatest common factor 271,457,263 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 867/271, 651/457, 344/263

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 867/271, 651/457, 344/263?

Answer: LCM of Numerators as per given numbers 867/271, 651/457, 344/263 is

LCM of Numerators i.e. for 867,651,344 is 64719816

GCF of denominators i.e. for 271,457,263 is 1.

Thus, LCM of Fractions is 64719816.Finally, LCM of Fractions for 867/271, 651/457, 344/263 is 64719816.