Least Common Multiple of 400/30, 259/6280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/30, 259/6280 quickly i.e. 10360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/30, 259/6280 is 10360.

LCM(400/30, 259/6280) = 10360

LCM of 400/30, 259/6280

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 400/30,259/6280

Given numbers are 400/30,259/6280

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 400,259

Least Common Multiple of Numerators i.e. LCM of 400,259 is 103600.

GCF of Denominators means GCF of 30,6280 as per the given fractions.

GCF of 30,6280 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,259

LCM of Fractions 400/30,259/6280 is 10360

Given numbers has no common factors except 1. So, there LCM is their product i.e 103600

Least Common Multiple of 400,259 with GCF Formula

Least Common Multiple of 400,259 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 400,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,259) = 1

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

GCF(400,259) x common factors =1 x 1 = 1

LCM(400,259) = ( 400 × 259 ) / 1

LCM(400,259) = 103600 / 1

LCM(400,259) = 103600


Lets's calculate GCF of 30,6280

2 30, 6280
5 15, 3140
3, 628

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103600/10

Therefore the LCM of Fractions 400/30,259/6280 is 10360

Greatest Common Factor of 30,6280 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,6280 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 6280

List of positive integer factors of 6280 that divides 6280 without a remainder.

1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280

Greatest Common Factor

We found the factors 30,6280 . The biggest common factor number is the GCF number.
So the greatest common factor 30,6280 is 10.


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 400/30, 259/6280

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 400/30, 259/6280?

Answer: LCM of Numerators as per given numbers 400/30, 259/6280 is

LCM of Numerators i.e. for 400,259 is 103600

GCF of denominators i.e. for 30,6280 is 10.

Thus, LCM of Fractions is 10360.Finally, LCM of Fractions for 400/30, 259/6280 is 10360.