Least Common Multiple of 65/698, 168/556, 254/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/698, 168/556, 254/586 quickly i.e. 693420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/698, 168/556, 254/586 is 693420.

LCM(65/698, 168/556, 254/586) = 693420

LCM of 65/698, 168/556, 254/586

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 65/698,168/556,254/586

Given numbers are 65/698,168/556,254/586

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 65,168,254

Least Common Multiple of Numerators i.e. LCM of 65,168,254 is 1386840.

GCF of Denominators means GCF of 698,556,586 as per the given fractions.

GCF of 698,556,586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,168,254

LCM of Fractions 65/698,168/556,254/586 is 693420

2 65, 168, 254
65, 84, 127

∴ So the LCM of the given numbers is 2 x 65 x 84 x 127 = 1386840

Least Common Multiple of 65,168,254 with GCF Formula

Least Common Multiple of 65,168,254 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 65,168,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,168,254) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(65,168,254) x common factors =1 x 2 = 2

LCM(65,168,254) = ( 65 × 168 × 254 ) / 2

LCM(65,168,254) = 2773680 / 2

LCM(65,168,254) = 1386840


Lets's calculate GCF of 698,556,586

2 698, 556, 586
349, 278, 293

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1386840/2

Therefore the LCM of Fractions 65/698,168/556,254/586 is 693420

Greatest Common Factor of 698,556,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,556,586 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 698,556,586 . The biggest common factor number is the GCF number.
So the greatest common factor 698,556,586 is 2.


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 65/698, 168/556, 254/586

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 65/698, 168/556, 254/586?

Answer: LCM of Numerators as per given numbers 65/698, 168/556, 254/586 is

LCM of Numerators i.e. for 65,168,254 is 1386840

GCF of denominators i.e. for 698,556,586 is 2.

Thus, LCM of Fractions is 693420.Finally, LCM of Fractions for 65/698, 168/556, 254/586 is 693420.