Least Common Multiple of 735/40, 384/77, 734/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/40, 384/77, 734/253 quickly i.e. 34527360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/40, 384/77, 734/253 is 34527360.

LCM(735/40, 384/77, 734/253) = 34527360

LCM of 735/40, 384/77, 734/253

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 735/40,384/77,734/253

Given numbers are 735/40,384/77,734/253

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 735,384,734

Least Common Multiple of Numerators i.e. LCM of 735,384,734 is 34527360.

GCF of Denominators means GCF of 40,77,253 as per the given fractions.

GCF of 40,77,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,384,734

LCM of Fractions 735/40,384/77,734/253 is 34527360

2 735, 384, 734
3 735, 192, 367
245, 64, 367

∴ So the LCM of the given numbers is 2 x 3 x 245 x 64 x 367 = 34527360

Least Common Multiple of 735,384,734 with GCF Formula

Least Common Multiple of 735,384,734 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 735,384,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,384,734) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(735,384,734) x common factors =1 x 6 = 6

LCM(735,384,734) = ( 735 × 384 × 734 ) / 6

LCM(735,384,734) = 207164160 / 6

LCM(735,384,734) = 34527360


Lets's calculate GCF of 40,77,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34527360/1

Therefore the LCM of Fractions 735/40,384/77,734/253 is 34527360

Greatest Common Factor of 40,77,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,77,253 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 40,77,253 . The biggest common factor number is the GCF number.
So the greatest common factor 40,77,253 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 735/40, 384/77, 734/253

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 735/40, 384/77, 734/253?

Answer: LCM of Numerators as per given numbers 735/40, 384/77, 734/253 is

LCM of Numerators i.e. for 735,384,734 is 34527360

GCF of denominators i.e. for 40,77,253 is 1.

Thus, LCM of Fractions is 34527360.Finally, LCM of Fractions for 735/40, 384/77, 734/253 is 34527360.