Least Common Multiple of 19/706, 329/258, 272/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/706, 329/258, 272/870 quickly i.e. 850136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/706, 329/258, 272/870 is 850136.

LCM(19/706, 329/258, 272/870) = 850136

LCM of 19/706, 329/258, 272/870

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 19/706,329/258,272/870

Given numbers are 19/706,329/258,272/870

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 19,329,272

Least Common Multiple of Numerators i.e. LCM of 19,329,272 is 1700272.

GCF of Denominators means GCF of 706,258,870 as per the given fractions.

GCF of 706,258,870 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,329,272

LCM of Fractions 19/706,329/258,272/870 is 850136

Given numbers has no common factors except 1. So, there LCM is their product i.e 1700272

Least Common Multiple of 19,329,272 with GCF Formula

Least Common Multiple of 19,329,272 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 19,329,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,329,272) = 1

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

GCF(19,329,272) x common factors =1 x 1 = 1

LCM(19,329,272) = ( 19 × 329 × 272 ) / 1

LCM(19,329,272) = 1700272 / 1

LCM(19,329,272) = 1700272


Lets's calculate GCF of 706,258,870

2 706, 258, 870
353, 129, 435

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1700272/2

Therefore the LCM of Fractions 19/706,329/258,272/870 is 850136

Greatest Common Factor of 706,258,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,258,870 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 706,258,870 . The biggest common factor number is the GCF number.
So the greatest common factor 706,258,870 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 19/706, 329/258, 272/870

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 19/706, 329/258, 272/870?

Answer: LCM of Numerators as per given numbers 19/706, 329/258, 272/870 is

LCM of Numerators i.e. for 19,329,272 is 1700272

GCF of denominators i.e. for 706,258,870 is 2.

Thus, LCM of Fractions is 850136.Finally, LCM of Fractions for 19/706, 329/258, 272/870 is 850136.