Least Common Multiple of 7230/510, 4672/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7230/510, 4672/325 quickly i.e. 3377856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7230/510, 4672/325 is 3377856.

LCM(7230/510, 4672/325) = 3377856

LCM of 7230/510, 4672/325

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 7230/510,4672/325

Given numbers are 7230/510,4672/325

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 7230,4672

Least Common Multiple of Numerators i.e. LCM of 7230,4672 is 16889280.

GCF of Denominators means GCF of 510,325 as per the given fractions.

GCF of 510,325 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7230,4672

LCM of Fractions 7230/510,4672/325 is 3377856

2 7230, 4672
3615, 2336

∴ So the LCM of the given numbers is 2 x 3615 x 2336 = 16889280

Least Common Multiple of 7230,4672 with GCF Formula

Least Common Multiple of 7230,4672 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 7230,4672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7230,4672) = 2

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

GCF(7230,4672) x common factors =2 x 1 = 2

LCM(7230,4672) = ( 7230 × 4672 ) / 2

LCM(7230,4672) = 33778560 / 2

LCM(7230,4672) = 16889280


Lets's calculate GCF of 510,325

5 510, 325
102, 65

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16889280/5

Therefore the LCM of Fractions 7230/510,4672/325 is 3377856

Greatest Common Factor of 510,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,325 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 510,325 . The biggest common factor number is the GCF number.
So the greatest common factor 510,325 is 5.


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 7230/510, 4672/325

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 7230/510, 4672/325?

Answer: LCM of Numerators as per given numbers 7230/510, 4672/325 is

LCM of Numerators i.e. for 7230,4672 is 16889280

GCF of denominators i.e. for 510,325 is 5.

Thus, LCM of Fractions is 3377856.Finally, LCM of Fractions for 7230/510, 4672/325 is 3377856.