Least Common Multiple of 9132/874, 1868/5689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9132/874, 1868/5689 quickly i.e. 4264644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9132/874, 1868/5689 is 4264644.

LCM(9132/874, 1868/5689) = 4264644

LCM of 9132/874, 1868/5689

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 9132/874,1868/5689

Given numbers are 9132/874,1868/5689

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 9132,1868

Least Common Multiple of Numerators i.e. LCM of 9132,1868 is 4264644.

GCF of Denominators means GCF of 874,5689 as per the given fractions.

GCF of 874,5689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9132,1868

LCM of Fractions 9132/874,1868/5689 is 4264644

2 9132, 1868
2 4566, 934
2283, 467

∴ So the LCM of the given numbers is 2 x 2 x 2283 x 467 = 4264644

Least Common Multiple of 9132,1868 with GCF Formula

Least Common Multiple of 9132,1868 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 9132,1868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9132,1868) = 4

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

GCF(9132,1868) x common factors =4 x 1 = 4

LCM(9132,1868) = ( 9132 × 1868 ) / 4

LCM(9132,1868) = 17058576 / 4

LCM(9132,1868) = 4264644


Lets's calculate GCF of 874,5689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4264644/1

Therefore the LCM of Fractions 9132/874,1868/5689 is 4264644

Greatest Common Factor of 874,5689 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,5689 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 5689

List of positive integer factors of 5689 that divides 5689 without a remainder.

1,5689

Greatest Common Factor

We found the factors 874,5689 . The biggest common factor number is the GCF number.
So the greatest common factor 874,5689 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 9132/874, 1868/5689

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 9132/874, 1868/5689?

Answer: LCM of Numerators as per given numbers 9132/874, 1868/5689 is

LCM of Numerators i.e. for 9132,1868 is 4264644

GCF of denominators i.e. for 874,5689 is 1.

Thus, LCM of Fractions is 4264644.Finally, LCM of Fractions for 9132/874, 1868/5689 is 4264644.