Least Common Multiple of 735/46, 458/2731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/46, 458/2731 quickly i.e. 336630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/46, 458/2731 is 336630.

LCM(735/46, 458/2731) = 336630

LCM of 735/46, 458/2731

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 735/46,458/2731

Given numbers are 735/46,458/2731

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 735,458

Least Common Multiple of Numerators i.e. LCM of 735,458 is 336630.

GCF of Denominators means GCF of 46,2731 as per the given fractions.

GCF of 46,2731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,458

LCM of Fractions 735/46,458/2731 is 336630

Given numbers has no common factors except 1. So, there LCM is their product i.e 336630

Least Common Multiple of 735,458 with GCF Formula

Least Common Multiple of 735,458 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 735,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,458) = 1

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

GCF(735,458) x common factors =1 x 1 = 1

LCM(735,458) = ( 735 × 458 ) / 1

LCM(735,458) = 336630 / 1

LCM(735,458) = 336630


Lets's calculate GCF of 46,2731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336630/1

Therefore the LCM of Fractions 735/46,458/2731 is 336630

Greatest Common Factor of 46,2731 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,2731 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 2731

List of positive integer factors of 2731 that divides 2731 without a remainder.

1,2731

Greatest Common Factor

We found the factors 46,2731 . The biggest common factor number is the GCF number.
So the greatest common factor 46,2731 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 735/46, 458/2731

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 735/46, 458/2731?

Answer: LCM of Numerators as per given numbers 735/46, 458/2731 is

LCM of Numerators i.e. for 735,458 is 336630

GCF of denominators i.e. for 46,2731 is 1.

Thus, LCM of Fractions is 336630.Finally, LCM of Fractions for 735/46, 458/2731 is 336630.