Least Common Multiple of 42/845, 39/169, 207/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/845, 39/169, 207/481 quickly i.e. 2898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/845, 39/169, 207/481 is 2898.

LCM(42/845, 39/169, 207/481) = 2898

LCM of 42/845, 39/169, 207/481

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 42/845,39/169,207/481

Given numbers are 42/845,39/169,207/481

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 42,39,207

Least Common Multiple of Numerators i.e. LCM of 42,39,207 is 37674.

GCF of Denominators means GCF of 845,169,481 as per the given fractions.

GCF of 845,169,481 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,39,207

LCM of Fractions 42/845,39/169,207/481 is 2898

3 42, 39, 207
14, 13, 69

∴ So the LCM of the given numbers is 3 x 14 x 13 x 69 = 37674

Least Common Multiple of 42,39,207 with GCF Formula

Least Common Multiple of 42,39,207 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 42,39,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,39,207) = 3

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

GCF(42,39,207) x common factors =3 x 3 = 9

LCM(42,39,207) = ( 42 × 39 × 207 ) / 9

LCM(42,39,207) = 339066 / 9

LCM(42,39,207) = 37674


Lets's calculate GCF of 845,169,481

13 845, 169, 481
65, 13, 37

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37674/13

Therefore the LCM of Fractions 42/845,39/169,207/481 is 2898

Greatest Common Factor of 845,169,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,169,481 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 845,169,481 . The biggest common factor number is the GCF number.
So the greatest common factor 845,169,481 is 13.


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 42/845, 39/169, 207/481

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 42/845, 39/169, 207/481?

Answer: LCM of Numerators as per given numbers 42/845, 39/169, 207/481 is

LCM of Numerators i.e. for 42,39,207 is 37674

GCF of denominators i.e. for 845,169,481 is 13.

Thus, LCM of Fractions is 2898.Finally, LCM of Fractions for 42/845, 39/169, 207/481 is 2898.