Least Common Multiple of 414/31, 804/8718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/31, 804/8718 quickly i.e. 55476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/31, 804/8718 is 55476.

LCM(414/31, 804/8718) = 55476

LCM of 414/31, 804/8718

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 414/31,804/8718

Given numbers are 414/31,804/8718

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 414,804

Least Common Multiple of Numerators i.e. LCM of 414,804 is 55476.

GCF of Denominators means GCF of 31,8718 as per the given fractions.

GCF of 31,8718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,804

LCM of Fractions 414/31,804/8718 is 55476

2 414, 804
3 207, 402
69, 134

∴ So the LCM of the given numbers is 2 x 3 x 69 x 134 = 55476

Least Common Multiple of 414,804 with GCF Formula

Least Common Multiple of 414,804 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 414,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,804) = 6

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

GCF(414,804) x common factors =6 x 1 = 6

LCM(414,804) = ( 414 × 804 ) / 6

LCM(414,804) = 332856 / 6

LCM(414,804) = 55476


Lets's calculate GCF of 31,8718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55476/1

Therefore the LCM of Fractions 414/31,804/8718 is 55476

Greatest Common Factor of 31,8718 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,8718 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 8718

List of positive integer factors of 8718 that divides 8718 without a remainder.

1,2,3,6,1453,2906,4359,8718

Greatest Common Factor

We found the factors 31,8718 . The biggest common factor number is the GCF number.
So the greatest common factor 31,8718 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 414/31, 804/8718

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 414/31, 804/8718?

Answer: LCM of Numerators as per given numbers 414/31, 804/8718 is

LCM of Numerators i.e. for 414,804 is 55476

GCF of denominators i.e. for 31,8718 is 1.

Thus, LCM of Fractions is 55476.Finally, LCM of Fractions for 414/31, 804/8718 is 55476.