Least Common Multiple of 17/378, 738/487, 239/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/378, 738/487, 239/693 quickly i.e. 2998494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/378, 738/487, 239/693 is 2998494.

LCM(17/378, 738/487, 239/693) = 2998494

LCM of 17/378, 738/487, 239/693

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 17/378,738/487,239/693

Given numbers are 17/378,738/487,239/693

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 17,738,239

Least Common Multiple of Numerators i.e. LCM of 17,738,239 is 2998494.

GCF of Denominators means GCF of 378,487,693 as per the given fractions.

GCF of 378,487,693 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,738,239

LCM of Fractions 17/378,738/487,239/693 is 2998494

Given numbers has no common factors except 1. So, there LCM is their product i.e 2998494

Least Common Multiple of 17,738,239 with GCF Formula

Least Common Multiple of 17,738,239 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 17,738,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,738,239) = 1

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

GCF(17,738,239) x common factors =1 x 1 = 1

LCM(17,738,239) = ( 17 × 738 × 239 ) / 1

LCM(17,738,239) = 2998494 / 1

LCM(17,738,239) = 2998494


Lets's calculate GCF of 378,487,693

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2998494/1

Therefore the LCM of Fractions 17/378,738/487,239/693 is 2998494

Greatest Common Factor of 378,487,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,487,693 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 378,487,693 . The biggest common factor number is the GCF number.
So the greatest common factor 378,487,693 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 17/378, 738/487, 239/693

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 17/378, 738/487, 239/693?

Answer: LCM of Numerators as per given numbers 17/378, 738/487, 239/693 is

LCM of Numerators i.e. for 17,738,239 is 2998494

GCF of denominators i.e. for 378,487,693 is 1.

Thus, LCM of Fractions is 2998494.Finally, LCM of Fractions for 17/378, 738/487, 239/693 is 2998494.