Least Common Multiple of 2473/187, 4920/1405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2473/187, 4920/1405 quickly i.e. 12167160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2473/187, 4920/1405 is 12167160.

LCM(2473/187, 4920/1405) = 12167160

LCM of 2473/187, 4920/1405

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 2473/187,4920/1405

Given numbers are 2473/187,4920/1405

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 2473,4920

Least Common Multiple of Numerators i.e. LCM of 2473,4920 is 12167160.

GCF of Denominators means GCF of 187,1405 as per the given fractions.

GCF of 187,1405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2473,4920

LCM of Fractions 2473/187,4920/1405 is 12167160

Given numbers has no common factors except 1. So, there LCM is their product i.e 12167160

Least Common Multiple of 2473,4920 with GCF Formula

Least Common Multiple of 2473,4920 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 2473,4920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2473,4920) = 1

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

GCF(2473,4920) x common factors =1 x 1 = 1

LCM(2473,4920) = ( 2473 × 4920 ) / 1

LCM(2473,4920) = 12167160 / 1

LCM(2473,4920) = 12167160


Lets's calculate GCF of 187,1405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12167160/1

Therefore the LCM of Fractions 2473/187,4920/1405 is 12167160

Greatest Common Factor of 187,1405 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,1405 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 1405

List of positive integer factors of 1405 that divides 1405 without a remainder.

1,5,281,1405

Greatest Common Factor

We found the factors 187,1405 . The biggest common factor number is the GCF number.
So the greatest common factor 187,1405 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2473/187, 4920/1405

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 2473/187, 4920/1405?

Answer: LCM of Numerators as per given numbers 2473/187, 4920/1405 is

LCM of Numerators i.e. for 2473,4920 is 12167160

GCF of denominators i.e. for 187,1405 is 1.

Thus, LCM of Fractions is 12167160.Finally, LCM of Fractions for 2473/187, 4920/1405 is 12167160.