Least Common Multiple of 8195/304, 5174/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8195/304, 5174/216 quickly i.e. 42400930/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8195/304, 5174/216 is 42400930/8.

LCM(8195/304, 5174/216) = 42400930/8

LCM of 8195/304, 5174/216

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 8195/304,5174/216

Given numbers are 8195/304,5174/216

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 8195,5174

Least Common Multiple of Numerators i.e. LCM of 8195,5174 is 42400930.

GCF of Denominators means GCF of 304,216 as per the given fractions.

GCF of 304,216 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8195,5174

LCM of Fractions 8195/304,5174/216 is 42400930/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 42400930

Least Common Multiple of 8195,5174 with GCF Formula

Least Common Multiple of 8195,5174 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 8195,5174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8195,5174) = 1

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

GCF(8195,5174) x common factors =1 x 1 = 1

LCM(8195,5174) = ( 8195 × 5174 ) / 1

LCM(8195,5174) = 42400930 / 1

LCM(8195,5174) = 42400930


Lets's calculate GCF of 304,216

2 304, 216
2 152, 108
2 76, 54
38, 27

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42400930/8

Therefore the LCM of Fractions 8195/304,5174/216 is 42400930/8

Greatest Common Factor of 304,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,216 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 304,216 . The biggest common factor number is the GCF number.
So the greatest common factor 304,216 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 8195/304, 5174/216

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 8195/304, 5174/216?

Answer: LCM of Numerators as per given numbers 8195/304, 5174/216 is

LCM of Numerators i.e. for 8195,5174 is 42400930

GCF of denominators i.e. for 304,216 is 8.

Thus, LCM of Fractions is 42400930/8.Finally, LCM of Fractions for 8195/304, 5174/216 is 42400930/8.