Least Common Multiple of 736/13, 818/7561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 736/13, 818/7561 quickly i.e. 301024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/13, 818/7561 is 301024.

LCM(736/13, 818/7561) = 301024

LCM of 736/13, 818/7561

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 736/13,818/7561

Given numbers are 736/13,818/7561

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 736,818

Least Common Multiple of Numerators i.e. LCM of 736,818 is 301024.

GCF of Denominators means GCF of 13,7561 as per the given fractions.

GCF of 13,7561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,818

LCM of Fractions 736/13,818/7561 is 301024

2 736, 818
368, 409

∴ So the LCM of the given numbers is 2 x 368 x 409 = 301024

Least Common Multiple of 736,818 with GCF Formula

Least Common Multiple of 736,818 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 736,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,818) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(736,818) x common factors =2 x 1 = 2

LCM(736,818) = ( 736 × 818 ) / 2

LCM(736,818) = 602048 / 2

LCM(736,818) = 301024


Lets's calculate GCF of 13,7561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301024/1

Therefore the LCM of Fractions 736/13,818/7561 is 301024

Greatest Common Factor of 13,7561 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,7561 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 7561

List of positive integer factors of 7561 that divides 7561 without a remainder.

1,7561

Greatest Common Factor

We found the factors 13,7561 . The biggest common factor number is the GCF number.
So the greatest common factor 13,7561 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 736/13, 818/7561

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 736/13, 818/7561?

Answer: LCM of Numerators as per given numbers 736/13, 818/7561 is

LCM of Numerators i.e. for 736,818 is 301024

GCF of denominators i.e. for 13,7561 is 1.

Thus, LCM of Fractions is 301024.Finally, LCM of Fractions for 736/13, 818/7561 is 301024.