Least Common Multiple of 258/68, 714/38, 860/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/68, 714/38, 860/395 quickly i.e. 307020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/68, 714/38, 860/395 is 307020.

LCM(258/68, 714/38, 860/395) = 307020

LCM of 258/68, 714/38, 860/395

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 258/68,714/38,860/395

Given numbers are 258/68,714/38,860/395

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 258,714,860

Least Common Multiple of Numerators i.e. LCM of 258,714,860 is 307020.

GCF of Denominators means GCF of 68,38,395 as per the given fractions.

GCF of 68,38,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,714,860

LCM of Fractions 258/68,714/38,860/395 is 307020

2 258, 714, 860
3 129, 357, 430
43 43, 119, 430
1, 119, 10

∴ So the LCM of the given numbers is 2 x 3 x 43 x 1 x 119 x 10 = 307020

Least Common Multiple of 258,714,860 with GCF Formula

Least Common Multiple of 258,714,860 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 258,714,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,714,860) = 2

common factors(in case of two or more numbers have common factors) = 258

GCF(258,714,860) x common factors =2 x 258 = 516

LCM(258,714,860) = ( 258 × 714 × 860 ) / 516

LCM(258,714,860) = 158422320 / 516

LCM(258,714,860) = 307020


Lets's calculate GCF of 68,38,395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307020/1

Therefore the LCM of Fractions 258/68,714/38,860/395 is 307020

Greatest Common Factor of 68,38,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,38,395 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 68,38,395 . The biggest common factor number is the GCF number.
So the greatest common factor 68,38,395 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 258/68, 714/38, 860/395

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 258/68, 714/38, 860/395?

Answer: LCM of Numerators as per given numbers 258/68, 714/38, 860/395 is

LCM of Numerators i.e. for 258,714,860 is 307020

GCF of denominators i.e. for 68,38,395 is 1.

Thus, LCM of Fractions is 307020.Finally, LCM of Fractions for 258/68, 714/38, 860/395 is 307020.