Least Common Multiple of 72/427, 31/314, 739/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/427, 31/314, 739/759 quickly i.e. 1649448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/427, 31/314, 739/759 is 1649448.

LCM(72/427, 31/314, 739/759) = 1649448

LCM of 72/427, 31/314, 739/759

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 72/427,31/314,739/759

Given numbers are 72/427,31/314,739/759

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 72,31,739

Least Common Multiple of Numerators i.e. LCM of 72,31,739 is 1649448.

GCF of Denominators means GCF of 427,314,759 as per the given fractions.

GCF of 427,314,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,31,739

LCM of Fractions 72/427,31/314,739/759 is 1649448

Given numbers has no common factors except 1. So, there LCM is their product i.e 1649448

Least Common Multiple of 72,31,739 with GCF Formula

Least Common Multiple of 72,31,739 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 72,31,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,31,739) = 1

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

GCF(72,31,739) x common factors =1 x 1 = 1

LCM(72,31,739) = ( 72 × 31 × 739 ) / 1

LCM(72,31,739) = 1649448 / 1

LCM(72,31,739) = 1649448


Lets's calculate GCF of 427,314,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1649448/1

Therefore the LCM of Fractions 72/427,31/314,739/759 is 1649448

Greatest Common Factor of 427,314,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,314,759 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 314

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

1,2,157,314

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 427,314,759 . The biggest common factor number is the GCF number.
So the greatest common factor 427,314,759 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 72/427, 31/314, 739/759

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 72/427, 31/314, 739/759?

Answer: LCM of Numerators as per given numbers 72/427, 31/314, 739/759 is

LCM of Numerators i.e. for 72,31,739 is 1649448

GCF of denominators i.e. for 427,314,759 is 1.

Thus, LCM of Fractions is 1649448.Finally, LCM of Fractions for 72/427, 31/314, 739/759 is 1649448.