Least Common Multiple of 322/24, 680/6160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 322/24, 680/6160 quickly i.e. 13685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 322/24, 680/6160 is 13685.

LCM(322/24, 680/6160) = 13685

LCM of 322/24, 680/6160

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 322/24,680/6160

Given numbers are 322/24,680/6160

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 322,680

Least Common Multiple of Numerators i.e. LCM of 322,680 is 109480.

GCF of Denominators means GCF of 24,6160 as per the given fractions.

GCF of 24,6160 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 322,680

LCM of Fractions 322/24,680/6160 is 13685

2 322, 680
161, 340

∴ So the LCM of the given numbers is 2 x 161 x 340 = 109480

Least Common Multiple of 322,680 with GCF Formula

Least Common Multiple of 322,680 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 322,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,680) = 2

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

GCF(322,680) x common factors =2 x 1 = 2

LCM(322,680) = ( 322 × 680 ) / 2

LCM(322,680) = 218960 / 2

LCM(322,680) = 109480


Lets's calculate GCF of 24,6160

2 24, 6160
2 12, 3080
2 6, 1540
3, 770

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109480/8

Therefore the LCM of Fractions 322/24,680/6160 is 13685

Greatest Common Factor of 24,6160 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,6160 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 6160

List of positive integer factors of 6160 that divides 6160 without a remainder.

1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160

Greatest Common Factor

We found the factors 24,6160 . The biggest common factor number is the GCF number.
So the greatest common factor 24,6160 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 322/24, 680/6160

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 322/24, 680/6160?

Answer: LCM of Numerators as per given numbers 322/24, 680/6160 is

LCM of Numerators i.e. for 322,680 is 109480

GCF of denominators i.e. for 24,6160 is 8.

Thus, LCM of Fractions is 13685.Finally, LCM of Fractions for 322/24, 680/6160 is 13685.