Least Common Multiple of 726/736, 155/722, 905/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/736, 155/722, 905/739 quickly i.e. 20367930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/736, 155/722, 905/739 is 20367930.

LCM(726/736, 155/722, 905/739) = 20367930

LCM of 726/736, 155/722, 905/739

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 726/736,155/722,905/739

Given numbers are 726/736,155/722,905/739

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 726,155,905

Least Common Multiple of Numerators i.e. LCM of 726,155,905 is 20367930.

GCF of Denominators means GCF of 736,722,739 as per the given fractions.

GCF of 736,722,739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,155,905

LCM of Fractions 726/736,155/722,905/739 is 20367930

5 726, 155, 905
726, 31, 181

∴ So the LCM of the given numbers is 5 x 726 x 31 x 181 = 20367930

Least Common Multiple of 726,155,905 with GCF Formula

Least Common Multiple of 726,155,905 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 726,155,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,155,905) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(726,155,905) x common factors =1 x 5 = 5

LCM(726,155,905) = ( 726 × 155 × 905 ) / 5

LCM(726,155,905) = 101839650 / 5

LCM(726,155,905) = 20367930


Lets's calculate GCF of 736,722,739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20367930/1

Therefore the LCM of Fractions 726/736,155/722,905/739 is 20367930

Greatest Common Factor of 736,722,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,722,739 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 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 736,722,739 . The biggest common factor number is the GCF number.
So the greatest common factor 736,722,739 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 726/736, 155/722, 905/739

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 726/736, 155/722, 905/739?

Answer: LCM of Numerators as per given numbers 726/736, 155/722, 905/739 is

LCM of Numerators i.e. for 726,155,905 is 20367930

GCF of denominators i.e. for 736,722,739 is 1.

Thus, LCM of Fractions is 20367930.Finally, LCM of Fractions for 726/736, 155/722, 905/739 is 20367930.