Least Common Multiple of 112/399, 7290/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 112/399, 7290/702 quickly i.e. 136080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 112/399, 7290/702 is 136080.

LCM(112/399, 7290/702) = 136080

LCM of 112/399, 7290/702

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 112/399,7290/702

Given numbers are 112/399,7290/702

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 112,7290

Least Common Multiple of Numerators i.e. LCM of 112,7290 is 408240.

GCF of Denominators means GCF of 399,702 as per the given fractions.

GCF of 399,702 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 112,7290

LCM of Fractions 112/399,7290/702 is 136080

2 112, 7290
56, 3645

∴ So the LCM of the given numbers is 2 x 56 x 3645 = 408240

Least Common Multiple of 112,7290 with GCF Formula

Least Common Multiple of 112,7290 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 112,7290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,7290) = 2

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

GCF(112,7290) x common factors =2 x 1 = 2

LCM(112,7290) = ( 112 × 7290 ) / 2

LCM(112,7290) = 816480 / 2

LCM(112,7290) = 408240


Lets's calculate GCF of 399,702

3 399, 702
133, 234

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408240/3

Therefore the LCM of Fractions 112/399,7290/702 is 136080

Greatest Common Factor of 399,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,702 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 399,702 . The biggest common factor number is the GCF number.
So the greatest common factor 399,702 is 3.


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 112/399, 7290/702

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 112/399, 7290/702?

Answer: LCM of Numerators as per given numbers 112/399, 7290/702 is

LCM of Numerators i.e. for 112,7290 is 408240

GCF of denominators i.e. for 399,702 is 3.

Thus, LCM of Fractions is 136080.Finally, LCM of Fractions for 112/399, 7290/702 is 136080.