Least Common Multiple of 152/34, 272/2365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 152/34, 272/2365 quickly i.e. 5168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/34, 272/2365 is 5168.

LCM(152/34, 272/2365) = 5168

LCM of 152/34, 272/2365

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 152/34,272/2365

Given numbers are 152/34,272/2365

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 152,272

Least Common Multiple of Numerators i.e. LCM of 152,272 is 5168.

GCF of Denominators means GCF of 34,2365 as per the given fractions.

GCF of 34,2365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,272

LCM of Fractions 152/34,272/2365 is 5168

2 152, 272
2 76, 136
2 38, 68
19, 34

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 34 = 5168

Least Common Multiple of 152,272 with GCF Formula

Least Common Multiple of 152,272 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 152,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,272) = 8

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

GCF(152,272) x common factors =8 x 1 = 8

LCM(152,272) = ( 152 × 272 ) / 8

LCM(152,272) = 41344 / 8

LCM(152,272) = 5168


Lets's calculate GCF of 34,2365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5168/1

Therefore the LCM of Fractions 152/34,272/2365 is 5168

Greatest Common Factor of 34,2365 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,2365 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 2365

List of positive integer factors of 2365 that divides 2365 without a remainder.

1,5,11,43,55,215,473,2365

Greatest Common Factor

We found the factors 34,2365 . The biggest common factor number is the GCF number.
So the greatest common factor 34,2365 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 152/34, 272/2365

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 152/34, 272/2365?

Answer: LCM of Numerators as per given numbers 152/34, 272/2365 is

LCM of Numerators i.e. for 152,272 is 5168

GCF of denominators i.e. for 34,2365 is 1.

Thus, LCM of Fractions is 5168.Finally, LCM of Fractions for 152/34, 272/2365 is 5168.