Least Common Multiple of 6864/454, 2167/1374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6864/454, 2167/1374 quickly i.e. 676104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6864/454, 2167/1374 is 676104.

LCM(6864/454, 2167/1374) = 676104

LCM of 6864/454, 2167/1374

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 6864/454,2167/1374

Given numbers are 6864/454,2167/1374

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 6864,2167

Least Common Multiple of Numerators i.e. LCM of 6864,2167 is 1352208.

GCF of Denominators means GCF of 454,1374 as per the given fractions.

GCF of 454,1374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6864,2167

LCM of Fractions 6864/454,2167/1374 is 676104

11 6864, 2167
624, 197

∴ So the LCM of the given numbers is 11 x 624 x 197 = 1352208

Least Common Multiple of 6864,2167 with GCF Formula

Least Common Multiple of 6864,2167 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 6864,2167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6864,2167) = 11

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

GCF(6864,2167) x common factors =11 x 1 = 11

LCM(6864,2167) = ( 6864 × 2167 ) / 11

LCM(6864,2167) = 14874288 / 11

LCM(6864,2167) = 1352208


Lets's calculate GCF of 454,1374

2 454, 1374
227, 687

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1352208/2

Therefore the LCM of Fractions 6864/454,2167/1374 is 676104

Greatest Common Factor of 454,1374 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,1374 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 1374

List of positive integer factors of 1374 that divides 1374 without a remainder.

1,2,3,6,229,458,687,1374

Greatest Common Factor

We found the factors 454,1374 . The biggest common factor number is the GCF number.
So the greatest common factor 454,1374 is 2.


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 6864/454, 2167/1374

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 6864/454, 2167/1374?

Answer: LCM of Numerators as per given numbers 6864/454, 2167/1374 is

LCM of Numerators i.e. for 6864,2167 is 1352208

GCF of denominators i.e. for 454,1374 is 2.

Thus, LCM of Fractions is 676104.Finally, LCM of Fractions for 6864/454, 2167/1374 is 676104.