Least Common Multiple of 258/717, 6857/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/717, 6857/504 quickly i.e. 589702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/717, 6857/504 is 589702.

LCM(258/717, 6857/504) = 589702

LCM of 258/717, 6857/504

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 258/717,6857/504

Given numbers are 258/717,6857/504

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 258,6857

Least Common Multiple of Numerators i.e. LCM of 258,6857 is 1769106.

GCF of Denominators means GCF of 717,504 as per the given fractions.

GCF of 717,504 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,6857

LCM of Fractions 258/717,6857/504 is 589702

Given numbers has no common factors except 1. So, there LCM is their product i.e 1769106

Least Common Multiple of 258,6857 with GCF Formula

Least Common Multiple of 258,6857 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 258,6857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,6857) = 1

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

GCF(258,6857) x common factors =1 x 1 = 1

LCM(258,6857) = ( 258 × 6857 ) / 1

LCM(258,6857) = 1769106 / 1

LCM(258,6857) = 1769106


Lets's calculate GCF of 717,504

3 717, 504
239, 168

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1769106/3

Therefore the LCM of Fractions 258/717,6857/504 is 589702

Greatest Common Factor of 717,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,504 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 717,504 . The biggest common factor number is the GCF number.
So the greatest common factor 717,504 is 3.


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 258/717, 6857/504

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 258/717, 6857/504?

Answer: LCM of Numerators as per given numbers 258/717, 6857/504 is

LCM of Numerators i.e. for 258,6857 is 1769106

GCF of denominators i.e. for 717,504 is 3.

Thus, LCM of Fractions is 589702.Finally, LCM of Fractions for 258/717, 6857/504 is 589702.