Least Common Multiple of 3510/387, 8179/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3510/387, 8179/464 quickly i.e. 28708290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3510/387, 8179/464 is 28708290.

LCM(3510/387, 8179/464) = 28708290

LCM of 3510/387, 8179/464

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 3510/387,8179/464

Given numbers are 3510/387,8179/464

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 3510,8179

Least Common Multiple of Numerators i.e. LCM of 3510,8179 is 28708290.

GCF of Denominators means GCF of 387,464 as per the given fractions.

GCF of 387,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3510,8179

LCM of Fractions 3510/387,8179/464 is 28708290

Given numbers has no common factors except 1. So, there LCM is their product i.e 28708290

Least Common Multiple of 3510,8179 with GCF Formula

Least Common Multiple of 3510,8179 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 3510,8179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3510,8179) = 1

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

GCF(3510,8179) x common factors =1 x 1 = 1

LCM(3510,8179) = ( 3510 × 8179 ) / 1

LCM(3510,8179) = 28708290 / 1

LCM(3510,8179) = 28708290


Lets's calculate GCF of 387,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28708290/1

Therefore the LCM of Fractions 3510/387,8179/464 is 28708290

Greatest Common Factor of 387,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,464 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 387,464 . The biggest common factor number is the GCF number.
So the greatest common factor 387,464 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 3510/387, 8179/464

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 3510/387, 8179/464?

Answer: LCM of Numerators as per given numbers 3510/387, 8179/464 is

LCM of Numerators i.e. for 3510,8179 is 28708290

GCF of denominators i.e. for 387,464 is 1.

Thus, LCM of Fractions is 28708290.Finally, LCM of Fractions for 3510/387, 8179/464 is 28708290.