Least Common Multiple of 400/15, 863/1320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/15, 863/1320 quickly i.e. 345200/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/15, 863/1320 is 345200/15.

LCM(400/15, 863/1320) = 345200/15

LCM of 400/15, 863/1320

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 400/15,863/1320

Given numbers are 400/15,863/1320

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 400,863

Least Common Multiple of Numerators i.e. LCM of 400,863 is 345200.

GCF of Denominators means GCF of 15,1320 as per the given fractions.

GCF of 15,1320 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,863

LCM of Fractions 400/15,863/1320 is 345200/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 345200

Least Common Multiple of 400,863 with GCF Formula

Least Common Multiple of 400,863 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 400,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,863) = 1

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

GCF(400,863) x common factors =1 x 1 = 1

LCM(400,863) = ( 400 × 863 ) / 1

LCM(400,863) = 345200 / 1

LCM(400,863) = 345200


Lets's calculate GCF of 15,1320

3 15, 1320
5 5, 440
1, 88

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345200/15

Therefore the LCM of Fractions 400/15,863/1320 is 345200/15

Greatest Common Factor of 15,1320 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,1320 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 1320

List of positive integer factors of 1320 that divides 1320 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320

Greatest Common Factor

We found the factors 15,1320 . The biggest common factor number is the GCF number.
So the greatest common factor 15,1320 is 15.


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 400/15, 863/1320

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 400/15, 863/1320?

Answer: LCM of Numerators as per given numbers 400/15, 863/1320 is

LCM of Numerators i.e. for 400,863 is 345200

GCF of denominators i.e. for 15,1320 is 15.

Thus, LCM of Fractions is 345200/15.Finally, LCM of Fractions for 400/15, 863/1320 is 345200/15.