Least Common Multiple of 48/209, 156/936, 318/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/209, 156/936, 318/345 quickly i.e. 33072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/209, 156/936, 318/345 is 33072.

LCM(48/209, 156/936, 318/345) = 33072

LCM of 48/209, 156/936, 318/345

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 48/209,156/936,318/345

Given numbers are 48/209,156/936,318/345

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 48,156,318

Least Common Multiple of Numerators i.e. LCM of 48,156,318 is 33072.

GCF of Denominators means GCF of 209,936,345 as per the given fractions.

GCF of 209,936,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,156,318

LCM of Fractions 48/209,156/936,318/345 is 33072

2 48, 156, 318
2 24, 78, 159
3 12, 39, 159
4, 13, 53

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 13 x 53 = 33072

Least Common Multiple of 48,156,318 with GCF Formula

Least Common Multiple of 48,156,318 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 48,156,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,156,318) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(48,156,318) x common factors =6 x 12 = 72

LCM(48,156,318) = ( 48 × 156 × 318 ) / 72

LCM(48,156,318) = 2381184 / 72

LCM(48,156,318) = 33072


Lets's calculate GCF of 209,936,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33072/1

Therefore the LCM of Fractions 48/209,156/936,318/345 is 33072

Greatest Common Factor of 209,936,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,936,345 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 209,936,345 . The biggest common factor number is the GCF number.
So the greatest common factor 209,936,345 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 48/209, 156/936, 318/345

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 48/209, 156/936, 318/345?

Answer: LCM of Numerators as per given numbers 48/209, 156/936, 318/345 is

LCM of Numerators i.e. for 48,156,318 is 33072

GCF of denominators i.e. for 209,936,345 is 1.

Thus, LCM of Fractions is 33072.Finally, LCM of Fractions for 48/209, 156/936, 318/345 is 33072.