Least Common Multiple of 320/14, 7894/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 320/14, 7894/600 quickly i.e. 631520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 320/14, 7894/600 is 631520.

LCM(320/14, 7894/600) = 631520

LCM of 320/14, 7894/600

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 320/14,7894/600

Given numbers are 320/14,7894/600

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 320,7894

Least Common Multiple of Numerators i.e. LCM of 320,7894 is 1263040.

GCF of Denominators means GCF of 14,600 as per the given fractions.

GCF of 14,600 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 320,7894

LCM of Fractions 320/14,7894/600 is 631520

2 320, 7894
160, 3947

∴ So the LCM of the given numbers is 2 x 160 x 3947 = 1263040

Least Common Multiple of 320,7894 with GCF Formula

Least Common Multiple of 320,7894 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 320,7894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,7894) = 2

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

GCF(320,7894) x common factors =2 x 1 = 2

LCM(320,7894) = ( 320 × 7894 ) / 2

LCM(320,7894) = 2526080 / 2

LCM(320,7894) = 1263040


Lets's calculate GCF of 14,600

2 14, 600
7, 300

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1263040/2

Therefore the LCM of Fractions 320/14,7894/600 is 631520

Greatest Common Factor of 14,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,600 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 14,600 . The biggest common factor number is the GCF number.
So the greatest common factor 14,600 is 2.


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 320/14, 7894/600

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 320/14, 7894/600?

Answer: LCM of Numerators as per given numbers 320/14, 7894/600 is

LCM of Numerators i.e. for 320,7894 is 1263040

GCF of denominators i.e. for 14,600 is 2.

Thus, LCM of Fractions is 631520.Finally, LCM of Fractions for 320/14, 7894/600 is 631520.