Least Common Multiple of 9120/201, 2473/3498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9120/201, 2473/3498 quickly i.e. 7517920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9120/201, 2473/3498 is 7517920.

LCM(9120/201, 2473/3498) = 7517920

LCM of 9120/201, 2473/3498

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 9120/201,2473/3498

Given numbers are 9120/201,2473/3498

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 9120,2473

Least Common Multiple of Numerators i.e. LCM of 9120,2473 is 22553760.

GCF of Denominators means GCF of 201,3498 as per the given fractions.

GCF of 201,3498 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9120,2473

LCM of Fractions 9120/201,2473/3498 is 7517920

Given numbers has no common factors except 1. So, there LCM is their product i.e 22553760

Least Common Multiple of 9120,2473 with GCF Formula

Least Common Multiple of 9120,2473 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 9120,2473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9120,2473) = 1

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

GCF(9120,2473) x common factors =1 x 1 = 1

LCM(9120,2473) = ( 9120 × 2473 ) / 1

LCM(9120,2473) = 22553760 / 1

LCM(9120,2473) = 22553760


Lets's calculate GCF of 201,3498

3 201, 3498
67, 1166

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22553760/3

Therefore the LCM of Fractions 9120/201,2473/3498 is 7517920

Greatest Common Factor of 201,3498 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,3498 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 3498

List of positive integer factors of 3498 that divides 3498 without a remainder.

1,2,3,6,11,22,33,53,66,106,159,318,583,1166,1749,3498

Greatest Common Factor

We found the factors 201,3498 . The biggest common factor number is the GCF number.
So the greatest common factor 201,3498 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9120/201, 2473/3498

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 9120/201, 2473/3498?

Answer: LCM of Numerators as per given numbers 9120/201, 2473/3498 is

LCM of Numerators i.e. for 9120,2473 is 22553760

GCF of denominators i.e. for 201,3498 is 3.

Thus, LCM of Fractions is 7517920.Finally, LCM of Fractions for 9120/201, 2473/3498 is 7517920.