Least Common Multiple of 714/894, 943/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 714/894, 943/868 quickly i.e. 336651 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/894, 943/868 is 336651.

LCM(714/894, 943/868) = 336651

LCM of 714/894, 943/868

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 714/894,943/868

Given numbers are 714/894,943/868

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 714,943

Least Common Multiple of Numerators i.e. LCM of 714,943 is 673302.

GCF of Denominators means GCF of 894,868 as per the given fractions.

GCF of 894,868 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,943

LCM of Fractions 714/894,943/868 is 336651

Given numbers has no common factors except 1. So, there LCM is their product i.e 673302

Least Common Multiple of 714,943 with GCF Formula

Least Common Multiple of 714,943 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 714,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,943) = 1

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

GCF(714,943) x common factors =1 x 1 = 1

LCM(714,943) = ( 714 × 943 ) / 1

LCM(714,943) = 673302 / 1

LCM(714,943) = 673302


Lets's calculate GCF of 894,868

2 894, 868
447, 434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 673302/2

Therefore the LCM of Fractions 714/894,943/868 is 336651

Greatest Common Factor of 894,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,868 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 894,868 . The biggest common factor number is the GCF number.
So the greatest common factor 894,868 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 714/894, 943/868

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 714/894, 943/868?

Answer: LCM of Numerators as per given numbers 714/894, 943/868 is

LCM of Numerators i.e. for 714,943 is 673302

GCF of denominators i.e. for 894,868 is 2.

Thus, LCM of Fractions is 336651.Finally, LCM of Fractions for 714/894, 943/868 is 336651.