Least Common Multiple of 5220/184, 3532/6946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5220/184, 3532/6946 quickly i.e. 4609260/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5220/184, 3532/6946 is 4609260/46.

LCM(5220/184, 3532/6946) = 4609260/46

LCM of 5220/184, 3532/6946

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 5220/184,3532/6946

Given numbers are 5220/184,3532/6946

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 5220,3532

Least Common Multiple of Numerators i.e. LCM of 5220,3532 is 4609260.

GCF of Denominators means GCF of 184,6946 as per the given fractions.

GCF of 184,6946 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5220,3532

LCM of Fractions 5220/184,3532/6946 is 4609260/46

2 5220, 3532
2 2610, 1766
1305, 883

∴ So the LCM of the given numbers is 2 x 2 x 1305 x 883 = 4609260

Least Common Multiple of 5220,3532 with GCF Formula

Least Common Multiple of 5220,3532 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 5220,3532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5220,3532) = 4

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

GCF(5220,3532) x common factors =4 x 1 = 4

LCM(5220,3532) = ( 5220 × 3532 ) / 4

LCM(5220,3532) = 18437040 / 4

LCM(5220,3532) = 4609260


Lets's calculate GCF of 184,6946

2 184, 6946
23 92, 3473
4, 151

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4609260/46

Therefore the LCM of Fractions 5220/184,3532/6946 is 4609260/46

Greatest Common Factor of 184,6946 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,6946 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 6946

List of positive integer factors of 6946 that divides 6946 without a remainder.

1,2,23,46,151,302,3473,6946

Greatest Common Factor

We found the factors 184,6946 . The biggest common factor number is the GCF number.
So the greatest common factor 184,6946 is 46.


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 5220/184, 3532/6946

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 5220/184, 3532/6946?

Answer: LCM of Numerators as per given numbers 5220/184, 3532/6946 is

LCM of Numerators i.e. for 5220,3532 is 4609260

GCF of denominators i.e. for 184,6946 is 46.

Thus, LCM of Fractions is 4609260/46.Finally, LCM of Fractions for 5220/184, 3532/6946 is 4609260/46.