Least Common Multiple of 720/42, 296/33, 426/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/42, 296/33, 426/730 quickly i.e. 1891440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/42, 296/33, 426/730 is 1891440.

LCM(720/42, 296/33, 426/730) = 1891440

LCM of 720/42, 296/33, 426/730

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 720/42,296/33,426/730

Given numbers are 720/42,296/33,426/730

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 720,296,426

Least Common Multiple of Numerators i.e. LCM of 720,296,426 is 1891440.

GCF of Denominators means GCF of 42,33,730 as per the given fractions.

GCF of 42,33,730 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,296,426

LCM of Fractions 720/42,296/33,426/730 is 1891440

2 720, 296, 426
2 360, 148, 213
2 180, 74, 213
3 90, 37, 213
30, 37, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 30 x 37 x 71 = 1891440

Least Common Multiple of 720,296,426 with GCF Formula

Least Common Multiple of 720,296,426 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 720,296,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,296,426) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(720,296,426) x common factors =2 x 24 = 48

LCM(720,296,426) = ( 720 × 296 × 426 ) / 48

LCM(720,296,426) = 90789120 / 48

LCM(720,296,426) = 1891440


Lets's calculate GCF of 42,33,730

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1891440/1

Therefore the LCM of Fractions 720/42,296/33,426/730 is 1891440

Greatest Common Factor of 42,33,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,33,730 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 42,33,730 . The biggest common factor number is the GCF number.
So the greatest common factor 42,33,730 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 720/42, 296/33, 426/730

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 720/42, 296/33, 426/730?

Answer: LCM of Numerators as per given numbers 720/42, 296/33, 426/730 is

LCM of Numerators i.e. for 720,296,426 is 1891440

GCF of denominators i.e. for 42,33,730 is 1.

Thus, LCM of Fractions is 1891440.Finally, LCM of Fractions for 720/42, 296/33, 426/730 is 1891440.