Least Common Multiple of 1602/747, 2184/7591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1602/747, 2184/7591 quickly i.e. 583128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1602/747, 2184/7591 is 583128.

LCM(1602/747, 2184/7591) = 583128

LCM of 1602/747, 2184/7591

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 1602/747,2184/7591

Given numbers are 1602/747,2184/7591

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 1602,2184

Least Common Multiple of Numerators i.e. LCM of 1602,2184 is 583128.

GCF of Denominators means GCF of 747,7591 as per the given fractions.

GCF of 747,7591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1602,2184

LCM of Fractions 1602/747,2184/7591 is 583128

2 1602, 2184
3 801, 1092
267, 364

∴ So the LCM of the given numbers is 2 x 3 x 267 x 364 = 583128

Least Common Multiple of 1602,2184 with GCF Formula

Least Common Multiple of 1602,2184 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 1602,2184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1602,2184) = 6

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

GCF(1602,2184) x common factors =6 x 1 = 6

LCM(1602,2184) = ( 1602 × 2184 ) / 6

LCM(1602,2184) = 3498768 / 6

LCM(1602,2184) = 583128


Lets's calculate GCF of 747,7591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 583128/1

Therefore the LCM of Fractions 1602/747,2184/7591 is 583128

Greatest Common Factor of 747,7591 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,7591 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 7591

List of positive integer factors of 7591 that divides 7591 without a remainder.

1,7591

Greatest Common Factor

We found the factors 747,7591 . The biggest common factor number is the GCF number.
So the greatest common factor 747,7591 is 1.


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 1602/747, 2184/7591

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 1602/747, 2184/7591?

Answer: LCM of Numerators as per given numbers 1602/747, 2184/7591 is

LCM of Numerators i.e. for 1602,2184 is 583128

GCF of denominators i.e. for 747,7591 is 1.

Thus, LCM of Fractions is 583128.Finally, LCM of Fractions for 1602/747, 2184/7591 is 583128.