Least Common Multiple of 34/15, 63/18, 704/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/15, 63/18, 704/642 quickly i.e. 251328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/15, 63/18, 704/642 is 251328.

LCM(34/15, 63/18, 704/642) = 251328

LCM of 34/15, 63/18, 704/642

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 34/15,63/18,704/642

Given numbers are 34/15,63/18,704/642

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 34,63,704

Least Common Multiple of Numerators i.e. LCM of 34,63,704 is 753984.

GCF of Denominators means GCF of 15,18,642 as per the given fractions.

GCF of 15,18,642 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,63,704

LCM of Fractions 34/15,63/18,704/642 is 251328

2 34, 63, 704
17, 63, 352

∴ So the LCM of the given numbers is 2 x 17 x 63 x 352 = 753984

Least Common Multiple of 34,63,704 with GCF Formula

Least Common Multiple of 34,63,704 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 34,63,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,63,704) = 1

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

GCF(34,63,704) x common factors =1 x 2 = 2

LCM(34,63,704) = ( 34 × 63 × 704 ) / 2

LCM(34,63,704) = 1507968 / 2

LCM(34,63,704) = 753984


Lets's calculate GCF of 15,18,642

3 15, 18, 642
5, 6, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 753984/3

Therefore the LCM of Fractions 34/15,63/18,704/642 is 251328

Greatest Common Factor of 15,18,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,18,642 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 15,18,642 . The biggest common factor number is the GCF number.
So the greatest common factor 15,18,642 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 34/15, 63/18, 704/642

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 34/15, 63/18, 704/642?

Answer: LCM of Numerators as per given numbers 34/15, 63/18, 704/642 is

LCM of Numerators i.e. for 34,63,704 is 753984

GCF of denominators i.e. for 15,18,642 is 3.

Thus, LCM of Fractions is 251328.Finally, LCM of Fractions for 34/15, 63/18, 704/642 is 251328.