Least Common Multiple of 842/15, 272/1630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 842/15, 272/1630 quickly i.e. 114512/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/15, 272/1630 is 114512/5.

LCM(842/15, 272/1630) = 114512/5

LCM of 842/15, 272/1630

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 842/15,272/1630

Given numbers are 842/15,272/1630

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 842,272

Least Common Multiple of Numerators i.e. LCM of 842,272 is 114512.

GCF of Denominators means GCF of 15,1630 as per the given fractions.

GCF of 15,1630 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,272

LCM of Fractions 842/15,272/1630 is 114512/5

2 842, 272
421, 136

∴ So the LCM of the given numbers is 2 x 421 x 136 = 114512

Least Common Multiple of 842,272 with GCF Formula

Least Common Multiple of 842,272 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 842,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,272) = 2

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

GCF(842,272) x common factors =2 x 1 = 2

LCM(842,272) = ( 842 × 272 ) / 2

LCM(842,272) = 229024 / 2

LCM(842,272) = 114512


Lets's calculate GCF of 15,1630

5 15, 1630
3, 326

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114512/5

Therefore the LCM of Fractions 842/15,272/1630 is 114512/5

Greatest Common Factor of 15,1630 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,1630 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 1630

List of positive integer factors of 1630 that divides 1630 without a remainder.

1,2,5,10,163,326,815,1630

Greatest Common Factor

We found the factors 15,1630 . The biggest common factor number is the GCF number.
So the greatest common factor 15,1630 is 5.


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 842/15, 272/1630

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 842/15, 272/1630?

Answer: LCM of Numerators as per given numbers 842/15, 272/1630 is

LCM of Numerators i.e. for 842,272 is 114512

GCF of denominators i.e. for 15,1630 is 5.

Thus, LCM of Fractions is 114512/5.Finally, LCM of Fractions for 842/15, 272/1630 is 114512/5.