Least Common Multiple of 510/58, 662/2391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/58, 662/2391 quickly i.e. 168810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/58, 662/2391 is 168810.

LCM(510/58, 662/2391) = 168810

LCM of 510/58, 662/2391

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 510/58,662/2391

Given numbers are 510/58,662/2391

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 510,662

Least Common Multiple of Numerators i.e. LCM of 510,662 is 168810.

GCF of Denominators means GCF of 58,2391 as per the given fractions.

GCF of 58,2391 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,662

LCM of Fractions 510/58,662/2391 is 168810

2 510, 662
255, 331

∴ So the LCM of the given numbers is 2 x 255 x 331 = 168810

Least Common Multiple of 510,662 with GCF Formula

Least Common Multiple of 510,662 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 510,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,662) = 2

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

GCF(510,662) x common factors =2 x 1 = 2

LCM(510,662) = ( 510 × 662 ) / 2

LCM(510,662) = 337620 / 2

LCM(510,662) = 168810


Lets's calculate GCF of 58,2391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168810/1

Therefore the LCM of Fractions 510/58,662/2391 is 168810

Greatest Common Factor of 58,2391 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,2391 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 2391

List of positive integer factors of 2391 that divides 2391 without a remainder.

1,3,797,2391

Greatest Common Factor

We found the factors 58,2391 . The biggest common factor number is the GCF number.
So the greatest common factor 58,2391 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 510/58, 662/2391

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 510/58, 662/2391?

Answer: LCM of Numerators as per given numbers 510/58, 662/2391 is

LCM of Numerators i.e. for 510,662 is 168810

GCF of denominators i.e. for 58,2391 is 1.

Thus, LCM of Fractions is 168810.Finally, LCM of Fractions for 510/58, 662/2391 is 168810.