Least Common Multiple of 752/736, 238/222, 724/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 752/736, 238/222, 724/746 quickly i.e. 8098664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/736, 238/222, 724/746 is 8098664.

LCM(752/736, 238/222, 724/746) = 8098664

LCM of 752/736, 238/222, 724/746

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 752/736,238/222,724/746

Given numbers are 752/736,238/222,724/746

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 752,238,724

Least Common Multiple of Numerators i.e. LCM of 752,238,724 is 16197328.

GCF of Denominators means GCF of 736,222,746 as per the given fractions.

GCF of 736,222,746 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,238,724

LCM of Fractions 752/736,238/222,724/746 is 8098664

2 752, 238, 724
2 376, 119, 362
188, 119, 181

∴ So the LCM of the given numbers is 2 x 2 x 188 x 119 x 181 = 16197328

Least Common Multiple of 752,238,724 with GCF Formula

Least Common Multiple of 752,238,724 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 752,238,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,238,724) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(752,238,724) x common factors =2 x 4 = 8

LCM(752,238,724) = ( 752 × 238 × 724 ) / 8

LCM(752,238,724) = 129578624 / 8

LCM(752,238,724) = 16197328


Lets's calculate GCF of 736,222,746

2 736, 222, 746
368, 111, 373

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16197328/2

Therefore the LCM of Fractions 752/736,238/222,724/746 is 8098664

Greatest Common Factor of 736,222,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,222,746 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 736,222,746 . The biggest common factor number is the GCF number.
So the greatest common factor 736,222,746 is 2.


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 752/736, 238/222, 724/746

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 752/736, 238/222, 724/746?

Answer: LCM of Numerators as per given numbers 752/736, 238/222, 724/746 is

LCM of Numerators i.e. for 752,238,724 is 16197328

GCF of denominators i.e. for 736,222,746 is 2.

Thus, LCM of Fractions is 8098664.Finally, LCM of Fractions for 752/736, 238/222, 724/746 is 8098664.