Least Common Multiple of 729/314, 874/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/314, 874/966 quickly i.e. 318573 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/314, 874/966 is 318573.

LCM(729/314, 874/966) = 318573

LCM of 729/314, 874/966

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 729/314,874/966

Given numbers are 729/314,874/966

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 729,874

Least Common Multiple of Numerators i.e. LCM of 729,874 is 637146.

GCF of Denominators means GCF of 314,966 as per the given fractions.

GCF of 314,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,874

LCM of Fractions 729/314,874/966 is 318573

Given numbers has no common factors except 1. So, there LCM is their product i.e 637146

Least Common Multiple of 729,874 with GCF Formula

Least Common Multiple of 729,874 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 729,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,874) = 1

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

GCF(729,874) x common factors =1 x 1 = 1

LCM(729,874) = ( 729 × 874 ) / 1

LCM(729,874) = 637146 / 1

LCM(729,874) = 637146


Lets's calculate GCF of 314,966

2 314, 966
157, 483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 637146/2

Therefore the LCM of Fractions 729/314,874/966 is 318573

Greatest Common Factor of 314,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,966 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 314,966 . The biggest common factor number is the GCF number.
So the greatest common factor 314,966 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 729/314, 874/966

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 729/314, 874/966?

Answer: LCM of Numerators as per given numbers 729/314, 874/966 is

LCM of Numerators i.e. for 729,874 is 637146

GCF of denominators i.e. for 314,966 is 2.

Thus, LCM of Fractions is 318573.Finally, LCM of Fractions for 729/314, 874/966 is 318573.