Least Common Multiple of 15/623, 2461/7476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/623, 2461/7476 quickly i.e. 36915/623 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/623, 2461/7476 is 36915/623.

LCM(15/623, 2461/7476) = 36915/623

LCM of 15/623, 2461/7476

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 15/623,2461/7476

Given numbers are 15/623,2461/7476

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 15,2461

Least Common Multiple of Numerators i.e. LCM of 15,2461 is 36915.

GCF of Denominators means GCF of 623,7476 as per the given fractions.

GCF of 623,7476 is 623 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,2461

LCM of Fractions 15/623,2461/7476 is 36915/623

Given numbers has no common factors except 1. So, there LCM is their product i.e 36915

Least Common Multiple of 15,2461 with GCF Formula

Least Common Multiple of 15,2461 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 15,2461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,2461) = 1

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

GCF(15,2461) x common factors =1 x 1 = 1

LCM(15,2461) = ( 15 × 2461 ) / 1

LCM(15,2461) = 36915 / 1

LCM(15,2461) = 36915


Lets's calculate GCF of 623,7476

7 623, 7476
89 89, 1068
1, 12

∴ So the GCF of the given numbers is 7 x 89 = 623

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36915/623

Therefore the LCM of Fractions 15/623,2461/7476 is 36915/623

Greatest Common Factor of 623,7476 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,7476 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 7476

List of positive integer factors of 7476 that divides 7476 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476

Greatest Common Factor

We found the factors 623,7476 . The biggest common factor number is the GCF number.
So the greatest common factor 623,7476 is 623.


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 15/623, 2461/7476

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 15/623, 2461/7476?

Answer: LCM of Numerators as per given numbers 15/623, 2461/7476 is

LCM of Numerators i.e. for 15,2461 is 36915

GCF of denominators i.e. for 623,7476 is 623.

Thus, LCM of Fractions is 36915/623.Finally, LCM of Fractions for 15/623, 2461/7476 is 36915/623.