Least Common Multiple of 747/162, 2204/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 747/162, 2204/367 quickly i.e. 1646388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/162, 2204/367 is 1646388.

LCM(747/162, 2204/367) = 1646388

LCM of 747/162, 2204/367

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 747/162,2204/367

Given numbers are 747/162,2204/367

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 747,2204

Least Common Multiple of Numerators i.e. LCM of 747,2204 is 1646388.

GCF of Denominators means GCF of 162,367 as per the given fractions.

GCF of 162,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,2204

LCM of Fractions 747/162,2204/367 is 1646388

Given numbers has no common factors except 1. So, there LCM is their product i.e 1646388

Least Common Multiple of 747,2204 with GCF Formula

Least Common Multiple of 747,2204 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 747,2204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,2204) = 1

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

GCF(747,2204) x common factors =1 x 1 = 1

LCM(747,2204) = ( 747 × 2204 ) / 1

LCM(747,2204) = 1646388 / 1

LCM(747,2204) = 1646388


Lets's calculate GCF of 162,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1646388/1

Therefore the LCM of Fractions 747/162,2204/367 is 1646388

Greatest Common Factor of 162,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,367 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 162,367 . The biggest common factor number is the GCF number.
So the greatest common factor 162,367 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 747/162, 2204/367

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 747/162, 2204/367?

Answer: LCM of Numerators as per given numbers 747/162, 2204/367 is

LCM of Numerators i.e. for 747,2204 is 1646388

GCF of denominators i.e. for 162,367 is 1.

Thus, LCM of Fractions is 1646388.Finally, LCM of Fractions for 747/162, 2204/367 is 1646388.