Least Common Multiple of 726/154, 977/728, 946/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/154, 977/728, 946/866 quickly i.e. 15249993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/154, 977/728, 946/866 is 15249993.

LCM(726/154, 977/728, 946/866) = 15249993

LCM of 726/154, 977/728, 946/866

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 726/154,977/728,946/866

Given numbers are 726/154,977/728,946/866

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 726,977,946

Least Common Multiple of Numerators i.e. LCM of 726,977,946 is 30499986.

GCF of Denominators means GCF of 154,728,866 as per the given fractions.

GCF of 154,728,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,977,946

LCM of Fractions 726/154,977/728,946/866 is 15249993

2 726, 977, 946
11 363, 977, 473
33, 977, 43

∴ So the LCM of the given numbers is 2 x 11 x 33 x 977 x 43 = 30499986

Least Common Multiple of 726,977,946 with GCF Formula

Least Common Multiple of 726,977,946 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 726,977,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,977,946) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(726,977,946) x common factors =1 x 22 = 22

LCM(726,977,946) = ( 726 × 977 × 946 ) / 22

LCM(726,977,946) = 670999692 / 22

LCM(726,977,946) = 30499986


Lets's calculate GCF of 154,728,866

2 154, 728, 866
77, 364, 433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30499986/2

Therefore the LCM of Fractions 726/154,977/728,946/866 is 15249993

Greatest Common Factor of 154,728,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,728,866 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 154,728,866 . The biggest common factor number is the GCF number.
So the greatest common factor 154,728,866 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 726/154, 977/728, 946/866

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 726/154, 977/728, 946/866?

Answer: LCM of Numerators as per given numbers 726/154, 977/728, 946/866 is

LCM of Numerators i.e. for 726,977,946 is 30499986

GCF of denominators i.e. for 154,728,866 is 2.

Thus, LCM of Fractions is 15249993.Finally, LCM of Fractions for 726/154, 977/728, 946/866 is 15249993.