Least Common Multiple of 149/360, 5365/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/360, 5365/296 quickly i.e. 799385/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/360, 5365/296 is 799385/8.

LCM(149/360, 5365/296) = 799385/8

LCM of 149/360, 5365/296

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 149/360,5365/296

Given numbers are 149/360,5365/296

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 149,5365

Least Common Multiple of Numerators i.e. LCM of 149,5365 is 799385.

GCF of Denominators means GCF of 360,296 as per the given fractions.

GCF of 360,296 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,5365

LCM of Fractions 149/360,5365/296 is 799385/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 799385

Least Common Multiple of 149,5365 with GCF Formula

Least Common Multiple of 149,5365 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 149,5365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,5365) = 1

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

GCF(149,5365) x common factors =1 x 1 = 1

LCM(149,5365) = ( 149 × 5365 ) / 1

LCM(149,5365) = 799385 / 1

LCM(149,5365) = 799385


Lets's calculate GCF of 360,296

2 360, 296
2 180, 148
2 90, 74
45, 37

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 799385/8

Therefore the LCM of Fractions 149/360,5365/296 is 799385/8

Greatest Common Factor of 360,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,296 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 360,296 . The biggest common factor number is the GCF number.
So the greatest common factor 360,296 is 8.


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 149/360, 5365/296

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 149/360, 5365/296?

Answer: LCM of Numerators as per given numbers 149/360, 5365/296 is

LCM of Numerators i.e. for 149,5365 is 799385

GCF of denominators i.e. for 360,296 is 8.

Thus, LCM of Fractions is 799385/8.Finally, LCM of Fractions for 149/360, 5365/296 is 799385/8.