Least Common Multiple of 734/31, 178/5267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 734/31, 178/5267 quickly i.e. 65326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/31, 178/5267 is 65326.

LCM(734/31, 178/5267) = 65326

LCM of 734/31, 178/5267

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 734/31,178/5267

Given numbers are 734/31,178/5267

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 734,178

Least Common Multiple of Numerators i.e. LCM of 734,178 is 65326.

GCF of Denominators means GCF of 31,5267 as per the given fractions.

GCF of 31,5267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,178

LCM of Fractions 734/31,178/5267 is 65326

2 734, 178
367, 89

∴ So the LCM of the given numbers is 2 x 367 x 89 = 65326

Least Common Multiple of 734,178 with GCF Formula

Least Common Multiple of 734,178 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 734,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,178) = 2

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

GCF(734,178) x common factors =2 x 1 = 2

LCM(734,178) = ( 734 × 178 ) / 2

LCM(734,178) = 130652 / 2

LCM(734,178) = 65326


Lets's calculate GCF of 31,5267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65326/1

Therefore the LCM of Fractions 734/31,178/5267 is 65326

Greatest Common Factor of 31,5267 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,5267 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 5267

List of positive integer factors of 5267 that divides 5267 without a remainder.

1,23,229,5267

Greatest Common Factor

We found the factors 31,5267 . The biggest common factor number is the GCF number.
So the greatest common factor 31,5267 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 734/31, 178/5267

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 734/31, 178/5267?

Answer: LCM of Numerators as per given numbers 734/31, 178/5267 is

LCM of Numerators i.e. for 734,178 is 65326

GCF of denominators i.e. for 31,5267 is 1.

Thus, LCM of Fractions is 65326.Finally, LCM of Fractions for 734/31, 178/5267 is 65326.