Least Common Multiple of 18/736, 8996/3049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/736, 8996/3049 quickly i.e. 80964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/736, 8996/3049 is 80964.

LCM(18/736, 8996/3049) = 80964

LCM of 18/736, 8996/3049

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 18/736,8996/3049

Given numbers are 18/736,8996/3049

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 18,8996

Least Common Multiple of Numerators i.e. LCM of 18,8996 is 80964.

GCF of Denominators means GCF of 736,3049 as per the given fractions.

GCF of 736,3049 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,8996

LCM of Fractions 18/736,8996/3049 is 80964

2 18, 8996
9, 4498

∴ So the LCM of the given numbers is 2 x 9 x 4498 = 80964

Least Common Multiple of 18,8996 with GCF Formula

Least Common Multiple of 18,8996 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 18,8996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,8996) = 2

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

GCF(18,8996) x common factors =2 x 1 = 2

LCM(18,8996) = ( 18 × 8996 ) / 2

LCM(18,8996) = 161928 / 2

LCM(18,8996) = 80964


Lets's calculate GCF of 736,3049

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80964/1

Therefore the LCM of Fractions 18/736,8996/3049 is 80964

Greatest Common Factor of 736,3049 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,3049 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 3049

List of positive integer factors of 3049 that divides 3049 without a remainder.

1,3049

Greatest Common Factor

We found the factors 736,3049 . The biggest common factor number is the GCF number.
So the greatest common factor 736,3049 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/736, 8996/3049

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 18/736, 8996/3049?

Answer: LCM of Numerators as per given numbers 18/736, 8996/3049 is

LCM of Numerators i.e. for 18,8996 is 80964

GCF of denominators i.e. for 736,3049 is 1.

Thus, LCM of Fractions is 80964.Finally, LCM of Fractions for 18/736, 8996/3049 is 80964.