Least Common Multiple of 23/13, 897/92, 736/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/13, 897/92, 736/706 quickly i.e. 28704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/13, 897/92, 736/706 is 28704.

LCM(23/13, 897/92, 736/706) = 28704

LCM of 23/13, 897/92, 736/706

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 23/13,897/92,736/706

Given numbers are 23/13,897/92,736/706

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 23,897,736

Least Common Multiple of Numerators i.e. LCM of 23,897,736 is 28704.

GCF of Denominators means GCF of 13,92,706 as per the given fractions.

GCF of 13,92,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,897,736

LCM of Fractions 23/13,897/92,736/706 is 28704

23 23, 897, 736
1, 39, 32

∴ So the LCM of the given numbers is 23 x 1 x 39 x 32 = 28704

Least Common Multiple of 23,897,736 with GCF Formula

Least Common Multiple of 23,897,736 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 23,897,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,897,736) = 23

common factors(in case of two or more numbers have common factors) = 23

GCF(23,897,736) x common factors =23 x 23 = 529

LCM(23,897,736) = ( 23 × 897 × 736 ) / 529

LCM(23,897,736) = 15184416 / 529

LCM(23,897,736) = 28704


Lets's calculate GCF of 13,92,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28704/1

Therefore the LCM of Fractions 23/13,897/92,736/706 is 28704

Greatest Common Factor of 13,92,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,92,706 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 92

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

1,2,4,23,46,92

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 13,92,706 . The biggest common factor number is the GCF number.
So the greatest common factor 13,92,706 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 23/13, 897/92, 736/706

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 23/13, 897/92, 736/706?

Answer: LCM of Numerators as per given numbers 23/13, 897/92, 736/706 is

LCM of Numerators i.e. for 23,897,736 is 28704

GCF of denominators i.e. for 13,92,706 is 1.

Thus, LCM of Fractions is 28704.Finally, LCM of Fractions for 23/13, 897/92, 736/706 is 28704.