Least Common Multiple of 705/72, 762/51, 339/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/72, 762/51, 339/19 quickly i.e. 20234910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/72, 762/51, 339/19 is 20234910.

LCM(705/72, 762/51, 339/19) = 20234910

LCM of 705/72, 762/51, 339/19

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 705/72,762/51,339/19

Given numbers are 705/72,762/51,339/19

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 705,762,339

Least Common Multiple of Numerators i.e. LCM of 705,762,339 is 20234910.

GCF of Denominators means GCF of 72,51,19 as per the given fractions.

GCF of 72,51,19 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,762,339

LCM of Fractions 705/72,762/51,339/19 is 20234910

3 705, 762, 339
235, 254, 113

∴ So the LCM of the given numbers is 3 x 235 x 254 x 113 = 20234910

Least Common Multiple of 705,762,339 with GCF Formula

Least Common Multiple of 705,762,339 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 705,762,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,762,339) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(705,762,339) x common factors =3 x 3 = 9

LCM(705,762,339) = ( 705 × 762 × 339 ) / 9

LCM(705,762,339) = 182114190 / 9

LCM(705,762,339) = 20234910


Lets's calculate GCF of 72,51,19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20234910/1

Therefore the LCM of Fractions 705/72,762/51,339/19 is 20234910

Greatest Common Factor of 72,51,19 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,51,19 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 19

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

1,19

Greatest Common Factor

We found the factors 72,51,19 . The biggest common factor number is the GCF number.
So the greatest common factor 72,51,19 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 705/72, 762/51, 339/19

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 705/72, 762/51, 339/19?

Answer: LCM of Numerators as per given numbers 705/72, 762/51, 339/19 is

LCM of Numerators i.e. for 705,762,339 is 20234910

GCF of denominators i.e. for 72,51,19 is 1.

Thus, LCM of Fractions is 20234910.Finally, LCM of Fractions for 705/72, 762/51, 339/19 is 20234910.