Least Common Multiple of 89/624, 7248/3905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/624, 7248/3905 quickly i.e. 645072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/624, 7248/3905 is 645072.

LCM(89/624, 7248/3905) = 645072

LCM of 89/624, 7248/3905

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 89/624,7248/3905

Given numbers are 89/624,7248/3905

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 89,7248

Least Common Multiple of Numerators i.e. LCM of 89,7248 is 645072.

GCF of Denominators means GCF of 624,3905 as per the given fractions.

GCF of 624,3905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,7248

LCM of Fractions 89/624,7248/3905 is 645072

Given numbers has no common factors except 1. So, there LCM is their product i.e 645072

Least Common Multiple of 89,7248 with GCF Formula

Least Common Multiple of 89,7248 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 89,7248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,7248) = 1

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

GCF(89,7248) x common factors =1 x 1 = 1

LCM(89,7248) = ( 89 × 7248 ) / 1

LCM(89,7248) = 645072 / 1

LCM(89,7248) = 645072


Lets's calculate GCF of 624,3905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 645072/1

Therefore the LCM of Fractions 89/624,7248/3905 is 645072

Greatest Common Factor of 624,3905 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,3905 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 3905

List of positive integer factors of 3905 that divides 3905 without a remainder.

1,5,11,55,71,355,781,3905

Greatest Common Factor

We found the factors 624,3905 . The biggest common factor number is the GCF number.
So the greatest common factor 624,3905 is 1.


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 89/624, 7248/3905

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 89/624, 7248/3905?

Answer: LCM of Numerators as per given numbers 89/624, 7248/3905 is

LCM of Numerators i.e. for 89,7248 is 645072

GCF of denominators i.e. for 624,3905 is 1.

Thus, LCM of Fractions is 645072.Finally, LCM of Fractions for 89/624, 7248/3905 is 645072.