Least Common Multiple of 32/624, 5915/4230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/624, 5915/4230 quickly i.e. 189280/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/624, 5915/4230 is 189280/6.

LCM(32/624, 5915/4230) = 189280/6

LCM of 32/624, 5915/4230

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 32/624,5915/4230

Given numbers are 32/624,5915/4230

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 32,5915

Least Common Multiple of Numerators i.e. LCM of 32,5915 is 189280.

GCF of Denominators means GCF of 624,4230 as per the given fractions.

GCF of 624,4230 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,5915

LCM of Fractions 32/624,5915/4230 is 189280/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 189280

Least Common Multiple of 32,5915 with GCF Formula

Least Common Multiple of 32,5915 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 32,5915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,5915) = 1

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

GCF(32,5915) x common factors =1 x 1 = 1

LCM(32,5915) = ( 32 × 5915 ) / 1

LCM(32,5915) = 189280 / 1

LCM(32,5915) = 189280


Lets's calculate GCF of 624,4230

2 624, 4230
3 312, 2115
104, 705

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189280/6

Therefore the LCM of Fractions 32/624,5915/4230 is 189280/6

Greatest Common Factor of 624,4230 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,4230 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 4230

List of positive integer factors of 4230 that divides 4230 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230

Greatest Common Factor

We found the factors 624,4230 . The biggest common factor number is the GCF number.
So the greatest common factor 624,4230 is 6.


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 32/624, 5915/4230

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 32/624, 5915/4230?

Answer: LCM of Numerators as per given numbers 32/624, 5915/4230 is

LCM of Numerators i.e. for 32,5915 is 189280

GCF of denominators i.e. for 624,4230 is 6.

Thus, LCM of Fractions is 189280/6.Finally, LCM of Fractions for 32/624, 5915/4230 is 189280/6.