Least Common Multiple of 671/736, 429/738, 726/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 671/736, 429/738, 726/737 quickly i.e. 575718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 671/736, 429/738, 726/737 is 575718.

LCM(671/736, 429/738, 726/737) = 575718

LCM of 671/736, 429/738, 726/737

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 671/736,429/738,726/737

Given numbers are 671/736,429/738,726/737

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 671,429,726

Least Common Multiple of Numerators i.e. LCM of 671,429,726 is 575718.

GCF of Denominators means GCF of 736,738,737 as per the given fractions.

GCF of 736,738,737 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 671,429,726

LCM of Fractions 671/736,429/738,726/737 is 575718

3 671, 429, 726
11 671, 143, 242
61, 13, 22

∴ So the LCM of the given numbers is 3 x 11 x 61 x 13 x 22 = 575718

Least Common Multiple of 671,429,726 with GCF Formula

Least Common Multiple of 671,429,726 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 671,429,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,429,726) = 11

common factors(in case of two or more numbers have common factors) = 33

GCF(671,429,726) x common factors =11 x 33 = 363

LCM(671,429,726) = ( 671 × 429 × 726 ) / 363

LCM(671,429,726) = 208985634 / 363

LCM(671,429,726) = 575718


Lets's calculate GCF of 736,738,737

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 575718/1

Therefore the LCM of Fractions 671/736,429/738,726/737 is 575718

Greatest Common Factor of 736,738,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,738,737 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 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

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 736,738,737 . The biggest common factor number is the GCF number.
So the greatest common factor 736,738,737 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 671/736, 429/738, 726/737

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 671/736, 429/738, 726/737?

Answer: LCM of Numerators as per given numbers 671/736, 429/738, 726/737 is

LCM of Numerators i.e. for 671,429,726 is 575718

GCF of denominators i.e. for 736,738,737 is 1.

Thus, LCM of Fractions is 575718.Finally, LCM of Fractions for 671/736, 429/738, 726/737 is 575718.