Least Common Multiple of 408/684, 2347/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 408/684, 2347/315 quickly i.e. 957576/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/684, 2347/315 is 957576/9.

LCM(408/684, 2347/315) = 957576/9

LCM of 408/684, 2347/315

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 408/684,2347/315

Given numbers are 408/684,2347/315

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 408,2347

Least Common Multiple of Numerators i.e. LCM of 408,2347 is 957576.

GCF of Denominators means GCF of 684,315 as per the given fractions.

GCF of 684,315 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,2347

LCM of Fractions 408/684,2347/315 is 957576/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 957576

Least Common Multiple of 408,2347 with GCF Formula

Least Common Multiple of 408,2347 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 408,2347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,2347) = 1

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

GCF(408,2347) x common factors =1 x 1 = 1

LCM(408,2347) = ( 408 × 2347 ) / 1

LCM(408,2347) = 957576 / 1

LCM(408,2347) = 957576


Lets's calculate GCF of 684,315

3 684, 315
3 228, 105
76, 35

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 957576/9

Therefore the LCM of Fractions 408/684,2347/315 is 957576/9

Greatest Common Factor of 684,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,315 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 684,315 . The biggest common factor number is the GCF number.
So the greatest common factor 684,315 is 9.


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 408/684, 2347/315

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 408/684, 2347/315?

Answer: LCM of Numerators as per given numbers 408/684, 2347/315 is

LCM of Numerators i.e. for 408,2347 is 957576

GCF of denominators i.e. for 684,315 is 9.

Thus, LCM of Fractions is 957576/9.Finally, LCM of Fractions for 408/684, 2347/315 is 957576/9.