Least Common Multiple of 784/24, 694/68, 331/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 784/24, 694/68, 331/640 quickly i.e. 22511972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 784/24, 694/68, 331/640 is 22511972.

LCM(784/24, 694/68, 331/640) = 22511972

LCM of 784/24, 694/68, 331/640

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 784/24,694/68,331/640

Given numbers are 784/24,694/68,331/640

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 784,694,331

Least Common Multiple of Numerators i.e. LCM of 784,694,331 is 90047888.

GCF of Denominators means GCF of 24,68,640 as per the given fractions.

GCF of 24,68,640 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 784,694,331

LCM of Fractions 784/24,694/68,331/640 is 22511972

2 784, 694, 331
392, 347, 331

∴ So the LCM of the given numbers is 2 x 392 x 347 x 331 = 90047888

Least Common Multiple of 784,694,331 with GCF Formula

Least Common Multiple of 784,694,331 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 784,694,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,694,331) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(784,694,331) x common factors =1 x 2 = 2

LCM(784,694,331) = ( 784 × 694 × 331 ) / 2

LCM(784,694,331) = 180095776 / 2

LCM(784,694,331) = 90047888


Lets's calculate GCF of 24,68,640

2 24, 68, 640
2 12, 34, 320
6, 17, 160

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90047888/4

Therefore the LCM of Fractions 784/24,694/68,331/640 is 22511972

Greatest Common Factor of 24,68,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,68,640 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 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 24,68,640 . The biggest common factor number is the GCF number.
So the greatest common factor 24,68,640 is 4.


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 784/24, 694/68, 331/640

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 784/24, 694/68, 331/640?

Answer: LCM of Numerators as per given numbers 784/24, 694/68, 331/640 is

LCM of Numerators i.e. for 784,694,331 is 90047888

GCF of denominators i.e. for 24,68,640 is 4.

Thus, LCM of Fractions is 22511972.Finally, LCM of Fractions for 784/24, 694/68, 331/640 is 22511972.