Least Common Multiple of 732/35, 722/4156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/35, 722/4156 quickly i.e. 264252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/35, 722/4156 is 264252.

LCM(732/35, 722/4156) = 264252

LCM of 732/35, 722/4156

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 732/35,722/4156

Given numbers are 732/35,722/4156

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 732,722

Least Common Multiple of Numerators i.e. LCM of 732,722 is 264252.

GCF of Denominators means GCF of 35,4156 as per the given fractions.

GCF of 35,4156 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,722

LCM of Fractions 732/35,722/4156 is 264252

2 732, 722
366, 361

∴ So the LCM of the given numbers is 2 x 366 x 361 = 264252

Least Common Multiple of 732,722 with GCF Formula

Least Common Multiple of 732,722 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 732,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,722) = 2

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

GCF(732,722) x common factors =2 x 1 = 2

LCM(732,722) = ( 732 × 722 ) / 2

LCM(732,722) = 528504 / 2

LCM(732,722) = 264252


Lets's calculate GCF of 35,4156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264252/1

Therefore the LCM of Fractions 732/35,722/4156 is 264252

Greatest Common Factor of 35,4156 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,4156 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 4156

List of positive integer factors of 4156 that divides 4156 without a remainder.

1,2,4,1039,2078,4156

Greatest Common Factor

We found the factors 35,4156 . The biggest common factor number is the GCF number.
So the greatest common factor 35,4156 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 732/35, 722/4156

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 732/35, 722/4156?

Answer: LCM of Numerators as per given numbers 732/35, 722/4156 is

LCM of Numerators i.e. for 732,722 is 264252

GCF of denominators i.e. for 35,4156 is 1.

Thus, LCM of Fractions is 264252.Finally, LCM of Fractions for 732/35, 722/4156 is 264252.