Least Common Multiple of 362/95, 405/8955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/95, 405/8955 quickly i.e. 29322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/95, 405/8955 is 29322.

LCM(362/95, 405/8955) = 29322

LCM of 362/95, 405/8955

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 362/95,405/8955

Given numbers are 362/95,405/8955

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 362,405

Least Common Multiple of Numerators i.e. LCM of 362,405 is 146610.

GCF of Denominators means GCF of 95,8955 as per the given fractions.

GCF of 95,8955 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,405

LCM of Fractions 362/95,405/8955 is 29322

Given numbers has no common factors except 1. So, there LCM is their product i.e 146610

Least Common Multiple of 362,405 with GCF Formula

Least Common Multiple of 362,405 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 362,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,405) = 1

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

GCF(362,405) x common factors =1 x 1 = 1

LCM(362,405) = ( 362 × 405 ) / 1

LCM(362,405) = 146610 / 1

LCM(362,405) = 146610


Lets's calculate GCF of 95,8955

5 95, 8955
19, 1791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146610/5

Therefore the LCM of Fractions 362/95,405/8955 is 29322

Greatest Common Factor of 95,8955 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,8955 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 8955

List of positive integer factors of 8955 that divides 8955 without a remainder.

1,3,5,9,15,45,199,597,995,1791,2985,8955

Greatest Common Factor

We found the factors 95,8955 . The biggest common factor number is the GCF number.
So the greatest common factor 95,8955 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 362/95, 405/8955

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 362/95, 405/8955?

Answer: LCM of Numerators as per given numbers 362/95, 405/8955 is

LCM of Numerators i.e. for 362,405 is 146610

GCF of denominators i.e. for 95,8955 is 5.

Thus, LCM of Fractions is 29322.Finally, LCM of Fractions for 362/95, 405/8955 is 29322.