Least Common Multiple of 607/30, 546/5524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 607/30, 546/5524 quickly i.e. 165711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 607/30, 546/5524 is 165711.

LCM(607/30, 546/5524) = 165711

LCM of 607/30, 546/5524

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 607/30,546/5524

Given numbers are 607/30,546/5524

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 607,546

Least Common Multiple of Numerators i.e. LCM of 607,546 is 331422.

GCF of Denominators means GCF of 30,5524 as per the given fractions.

GCF of 30,5524 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 607,546

LCM of Fractions 607/30,546/5524 is 165711

Given numbers has no common factors except 1. So, there LCM is their product i.e 331422

Least Common Multiple of 607,546 with GCF Formula

Least Common Multiple of 607,546 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 607,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,546) = 1

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

GCF(607,546) x common factors =1 x 1 = 1

LCM(607,546) = ( 607 × 546 ) / 1

LCM(607,546) = 331422 / 1

LCM(607,546) = 331422


Lets's calculate GCF of 30,5524

2 30, 5524
15, 2762

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331422/2

Therefore the LCM of Fractions 607/30,546/5524 is 165711

Greatest Common Factor of 30,5524 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,5524 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 5524

List of positive integer factors of 5524 that divides 5524 without a remainder.

1,2,4,1381,2762,5524

Greatest Common Factor

We found the factors 30,5524 . The biggest common factor number is the GCF number.
So the greatest common factor 30,5524 is 2.


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 607/30, 546/5524

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 607/30, 546/5524?

Answer: LCM of Numerators as per given numbers 607/30, 546/5524 is

LCM of Numerators i.e. for 607,546 is 331422

GCF of denominators i.e. for 30,5524 is 2.

Thus, LCM of Fractions is 165711.Finally, LCM of Fractions for 607/30, 546/5524 is 165711.