Least Common Multiple of 726/92, 679/48, 315/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/92, 679/48, 315/104 quickly i.e. 7394310/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/92, 679/48, 315/104 is 7394310/4.

LCM(726/92, 679/48, 315/104) = 7394310/4

LCM of 726/92, 679/48, 315/104

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 726/92,679/48,315/104

Given numbers are 726/92,679/48,315/104

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 726,679,315

Least Common Multiple of Numerators i.e. LCM of 726,679,315 is 7394310.

GCF of Denominators means GCF of 92,48,104 as per the given fractions.

GCF of 92,48,104 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,679,315

LCM of Fractions 726/92,679/48,315/104 is 7394310/4

3 726, 679, 315
7 242, 679, 105
242, 97, 15

∴ So the LCM of the given numbers is 3 x 7 x 242 x 97 x 15 = 7394310

Least Common Multiple of 726,679,315 with GCF Formula

Least Common Multiple of 726,679,315 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 726,679,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,679,315) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(726,679,315) x common factors =1 x 21 = 21

LCM(726,679,315) = ( 726 × 679 × 315 ) / 21

LCM(726,679,315) = 155280510 / 21

LCM(726,679,315) = 7394310


Lets's calculate GCF of 92,48,104

2 92, 48, 104
2 46, 24, 52
23, 12, 26

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7394310/4

Therefore the LCM of Fractions 726/92,679/48,315/104 is 7394310/4

Greatest Common Factor of 92,48,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,48,104 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 92,48,104 . The biggest common factor number is the GCF number.
So the greatest common factor 92,48,104 is 4.


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 726/92, 679/48, 315/104

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 726/92, 679/48, 315/104?

Answer: LCM of Numerators as per given numbers 726/92, 679/48, 315/104 is

LCM of Numerators i.e. for 726,679,315 is 7394310

GCF of denominators i.e. for 92,48,104 is 4.

Thus, LCM of Fractions is 7394310/4.Finally, LCM of Fractions for 726/92, 679/48, 315/104 is 7394310/4.