Least Common Multiple of 744/592, 648/614, 270/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/592, 648/614, 270/797 quickly i.e. 100440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/592, 648/614, 270/797 is 100440.

LCM(744/592, 648/614, 270/797) = 100440

LCM of 744/592, 648/614, 270/797

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 744/592,648/614,270/797

Given numbers are 744/592,648/614,270/797

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 744,648,270

Least Common Multiple of Numerators i.e. LCM of 744,648,270 is 100440.

GCF of Denominators means GCF of 592,614,797 as per the given fractions.

GCF of 592,614,797 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,648,270

LCM of Fractions 744/592,648/614,270/797 is 100440

2 744, 648, 270
2 372, 324, 135
2 186, 162, 135
3 93, 81, 135
3 31, 27, 45
3 31, 9, 15
31, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 31 x 3 x 5 = 100440

Least Common Multiple of 744,648,270 with GCF Formula

Least Common Multiple of 744,648,270 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 744,648,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,648,270) = 6

common factors(in case of two or more numbers have common factors) = 216

GCF(744,648,270) x common factors =6 x 216 = 1296

LCM(744,648,270) = ( 744 × 648 × 270 ) / 1296

LCM(744,648,270) = 130170240 / 1296

LCM(744,648,270) = 100440


Lets's calculate GCF of 592,614,797

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100440/1

Therefore the LCM of Fractions 744/592,648/614,270/797 is 100440

Greatest Common Factor of 592,614,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,614,797 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 592,614,797 . The biggest common factor number is the GCF number.
So the greatest common factor 592,614,797 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 744/592, 648/614, 270/797

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 744/592, 648/614, 270/797?

Answer: LCM of Numerators as per given numbers 744/592, 648/614, 270/797 is

LCM of Numerators i.e. for 744,648,270 is 100440

GCF of denominators i.e. for 592,614,797 is 1.

Thus, LCM of Fractions is 100440.Finally, LCM of Fractions for 744/592, 648/614, 270/797 is 100440.