Least Common Multiple of 6867/414, 1498/8936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6867/414, 1498/8936 quickly i.e. 734769 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6867/414, 1498/8936 is 734769.

LCM(6867/414, 1498/8936) = 734769

LCM of 6867/414, 1498/8936

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 6867/414,1498/8936

Given numbers are 6867/414,1498/8936

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 6867,1498

Least Common Multiple of Numerators i.e. LCM of 6867,1498 is 1469538.

GCF of Denominators means GCF of 414,8936 as per the given fractions.

GCF of 414,8936 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6867,1498

LCM of Fractions 6867/414,1498/8936 is 734769

7 6867, 1498
981, 214

∴ So the LCM of the given numbers is 7 x 981 x 214 = 1469538

Least Common Multiple of 6867,1498 with GCF Formula

Least Common Multiple of 6867,1498 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 6867,1498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6867,1498) = 7

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

GCF(6867,1498) x common factors =7 x 1 = 7

LCM(6867,1498) = ( 6867 × 1498 ) / 7

LCM(6867,1498) = 10286766 / 7

LCM(6867,1498) = 1469538


Lets's calculate GCF of 414,8936

2 414, 8936
207, 4468

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1469538/2

Therefore the LCM of Fractions 6867/414,1498/8936 is 734769

Greatest Common Factor of 414,8936 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,8936 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 8936

List of positive integer factors of 8936 that divides 8936 without a remainder.

1,2,4,8,1117,2234,4468,8936

Greatest Common Factor

We found the factors 414,8936 . The biggest common factor number is the GCF number.
So the greatest common factor 414,8936 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 6867/414, 1498/8936

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 6867/414, 1498/8936?

Answer: LCM of Numerators as per given numbers 6867/414, 1498/8936 is

LCM of Numerators i.e. for 6867,1498 is 1469538

GCF of denominators i.e. for 414,8936 is 2.

Thus, LCM of Fractions is 734769.Finally, LCM of Fractions for 6867/414, 1498/8936 is 734769.