Least Common Multiple of 400/72, 710/8482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/72, 710/8482 quickly i.e. 14200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/72, 710/8482 is 14200.

LCM(400/72, 710/8482) = 14200

LCM of 400/72, 710/8482

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 400/72,710/8482

Given numbers are 400/72,710/8482

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 400,710

Least Common Multiple of Numerators i.e. LCM of 400,710 is 28400.

GCF of Denominators means GCF of 72,8482 as per the given fractions.

GCF of 72,8482 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,710

LCM of Fractions 400/72,710/8482 is 14200

2 400, 710
5 200, 355
40, 71

∴ So the LCM of the given numbers is 2 x 5 x 40 x 71 = 28400

Least Common Multiple of 400,710 with GCF Formula

Least Common Multiple of 400,710 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 400,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,710) = 10

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

GCF(400,710) x common factors =10 x 1 = 10

LCM(400,710) = ( 400 × 710 ) / 10

LCM(400,710) = 284000 / 10

LCM(400,710) = 28400


Lets's calculate GCF of 72,8482

2 72, 8482
36, 4241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28400/2

Therefore the LCM of Fractions 400/72,710/8482 is 14200

Greatest Common Factor of 72,8482 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,8482 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 8482

List of positive integer factors of 8482 that divides 8482 without a remainder.

1,2,4241,8482

Greatest Common Factor

We found the factors 72,8482 . The biggest common factor number is the GCF number.
So the greatest common factor 72,8482 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 400/72, 710/8482

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 400/72, 710/8482?

Answer: LCM of Numerators as per given numbers 400/72, 710/8482 is

LCM of Numerators i.e. for 400,710 is 28400

GCF of denominators i.e. for 72,8482 is 2.

Thus, LCM of Fractions is 14200.Finally, LCM of Fractions for 400/72, 710/8482 is 14200.