Least Common Multiple of 297/19, 514/6020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/19, 514/6020 quickly i.e. 152658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/19, 514/6020 is 152658.

LCM(297/19, 514/6020) = 152658

LCM of 297/19, 514/6020

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 297/19,514/6020

Given numbers are 297/19,514/6020

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 297,514

Least Common Multiple of Numerators i.e. LCM of 297,514 is 152658.

GCF of Denominators means GCF of 19,6020 as per the given fractions.

GCF of 19,6020 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,514

LCM of Fractions 297/19,514/6020 is 152658

Given numbers has no common factors except 1. So, there LCM is their product i.e 152658

Least Common Multiple of 297,514 with GCF Formula

Least Common Multiple of 297,514 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 297,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,514) = 1

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

GCF(297,514) x common factors =1 x 1 = 1

LCM(297,514) = ( 297 × 514 ) / 1

LCM(297,514) = 152658 / 1

LCM(297,514) = 152658


Lets's calculate GCF of 19,6020

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152658/1

Therefore the LCM of Fractions 297/19,514/6020 is 152658

Greatest Common Factor of 19,6020 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,6020 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 6020

List of positive integer factors of 6020 that divides 6020 without a remainder.

1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020

Greatest Common Factor

We found the factors 19,6020 . The biggest common factor number is the GCF number.
So the greatest common factor 19,6020 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 297/19, 514/6020

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 297/19, 514/6020?

Answer: LCM of Numerators as per given numbers 297/19, 514/6020 is

LCM of Numerators i.e. for 297,514 is 152658

GCF of denominators i.e. for 19,6020 is 1.

Thus, LCM of Fractions is 152658.Finally, LCM of Fractions for 297/19, 514/6020 is 152658.