Least Common Multiple of 318/95, 389/47, 414/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/95, 389/47, 414/820 quickly i.e. 8535438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/95, 389/47, 414/820 is 8535438.

LCM(318/95, 389/47, 414/820) = 8535438

LCM of 318/95, 389/47, 414/820

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 318/95,389/47,414/820

Given numbers are 318/95,389/47,414/820

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 318,389,414

Least Common Multiple of Numerators i.e. LCM of 318,389,414 is 8535438.

GCF of Denominators means GCF of 95,47,820 as per the given fractions.

GCF of 95,47,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,389,414

LCM of Fractions 318/95,389/47,414/820 is 8535438

2 318, 389, 414
3 159, 389, 207
53, 389, 69

∴ So the LCM of the given numbers is 2 x 3 x 53 x 389 x 69 = 8535438

Least Common Multiple of 318,389,414 with GCF Formula

Least Common Multiple of 318,389,414 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 318,389,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,389,414) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(318,389,414) x common factors =1 x 6 = 6

LCM(318,389,414) = ( 318 × 389 × 414 ) / 6

LCM(318,389,414) = 51212628 / 6

LCM(318,389,414) = 8535438


Lets's calculate GCF of 95,47,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8535438/1

Therefore the LCM of Fractions 318/95,389/47,414/820 is 8535438

Greatest Common Factor of 95,47,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,47,820 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 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 95,47,820 . The biggest common factor number is the GCF number.
So the greatest common factor 95,47,820 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 318/95, 389/47, 414/820

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 318/95, 389/47, 414/820?

Answer: LCM of Numerators as per given numbers 318/95, 389/47, 414/820 is

LCM of Numerators i.e. for 318,389,414 is 8535438

GCF of denominators i.e. for 95,47,820 is 1.

Thus, LCM of Fractions is 8535438.Finally, LCM of Fractions for 318/95, 389/47, 414/820 is 8535438.