Least Common Multiple of 18/852, 3568/5946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/852, 3568/5946 quickly i.e. 5352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/852, 3568/5946 is 5352.

LCM(18/852, 3568/5946) = 5352

LCM of 18/852, 3568/5946

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 18/852,3568/5946

Given numbers are 18/852,3568/5946

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 18,3568

Least Common Multiple of Numerators i.e. LCM of 18,3568 is 32112.

GCF of Denominators means GCF of 852,5946 as per the given fractions.

GCF of 852,5946 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,3568

LCM of Fractions 18/852,3568/5946 is 5352

2 18, 3568
9, 1784

∴ So the LCM of the given numbers is 2 x 9 x 1784 = 32112

Least Common Multiple of 18,3568 with GCF Formula

Least Common Multiple of 18,3568 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 18,3568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,3568) = 2

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

GCF(18,3568) x common factors =2 x 1 = 2

LCM(18,3568) = ( 18 × 3568 ) / 2

LCM(18,3568) = 64224 / 2

LCM(18,3568) = 32112


Lets's calculate GCF of 852,5946

2 852, 5946
3 426, 2973
142, 991

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32112/6

Therefore the LCM of Fractions 18/852,3568/5946 is 5352

Greatest Common Factor of 852,5946 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,5946 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 5946

List of positive integer factors of 5946 that divides 5946 without a remainder.

1,2,3,6,991,1982,2973,5946

Greatest Common Factor

We found the factors 852,5946 . The biggest common factor number is the GCF number.
So the greatest common factor 852,5946 is 6.


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 18/852, 3568/5946

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 18/852, 3568/5946?

Answer: LCM of Numerators as per given numbers 18/852, 3568/5946 is

LCM of Numerators i.e. for 18,3568 is 32112

GCF of denominators i.e. for 852,5946 is 6.

Thus, LCM of Fractions is 5352.Finally, LCM of Fractions for 18/852, 3568/5946 is 5352.