Least Common Multiple of 736/926, 468/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/926, 468/738 quickly i.e. 43056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/926, 468/738 is 43056.

LCM(736/926, 468/738) = 43056

LCM of 736/926, 468/738

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 736/926,468/738

Given numbers are 736/926,468/738

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 736,468

Least Common Multiple of Numerators i.e. LCM of 736,468 is 86112.

GCF of Denominators means GCF of 926,738 as per the given fractions.

GCF of 926,738 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,468

LCM of Fractions 736/926,468/738 is 43056

2 736, 468
2 368, 234
184, 117

∴ So the LCM of the given numbers is 2 x 2 x 184 x 117 = 86112

Least Common Multiple of 736,468 with GCF Formula

Least Common Multiple of 736,468 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 736,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,468) = 4

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

GCF(736,468) x common factors =4 x 1 = 4

LCM(736,468) = ( 736 × 468 ) / 4

LCM(736,468) = 344448 / 4

LCM(736,468) = 86112


Lets's calculate GCF of 926,738

2 926, 738
463, 369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86112/2

Therefore the LCM of Fractions 736/926,468/738 is 43056

Greatest Common Factor of 926,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,738 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 926,738 . The biggest common factor number is the GCF number.
So the greatest common factor 926,738 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 736/926, 468/738

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 736/926, 468/738?

Answer: LCM of Numerators as per given numbers 736/926, 468/738 is

LCM of Numerators i.e. for 736,468 is 86112

GCF of denominators i.e. for 926,738 is 2.

Thus, LCM of Fractions is 43056.Finally, LCM of Fractions for 736/926, 468/738 is 43056.