Least Common Multiple of 117/440, 6412/3422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 117/440, 6412/3422 quickly i.e. 375102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 117/440, 6412/3422 is 375102.

LCM(117/440, 6412/3422) = 375102

LCM of 117/440, 6412/3422

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 117/440,6412/3422

Given numbers are 117/440,6412/3422

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 117,6412

Least Common Multiple of Numerators i.e. LCM of 117,6412 is 750204.

GCF of Denominators means GCF of 440,3422 as per the given fractions.

GCF of 440,3422 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 117,6412

LCM of Fractions 117/440,6412/3422 is 375102

Given numbers has no common factors except 1. So, there LCM is their product i.e 750204

Least Common Multiple of 117,6412 with GCF Formula

Least Common Multiple of 117,6412 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 117,6412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,6412) = 1

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

GCF(117,6412) x common factors =1 x 1 = 1

LCM(117,6412) = ( 117 × 6412 ) / 1

LCM(117,6412) = 750204 / 1

LCM(117,6412) = 750204


Lets's calculate GCF of 440,3422

2 440, 3422
220, 1711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 750204/2

Therefore the LCM of Fractions 117/440,6412/3422 is 375102

Greatest Common Factor of 440,3422 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,3422 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 3422

List of positive integer factors of 3422 that divides 3422 without a remainder.

1,2,29,58,59,118,1711,3422

Greatest Common Factor

We found the factors 440,3422 . The biggest common factor number is the GCF number.
So the greatest common factor 440,3422 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 117/440, 6412/3422

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 117/440, 6412/3422?

Answer: LCM of Numerators as per given numbers 117/440, 6412/3422 is

LCM of Numerators i.e. for 117,6412 is 750204

GCF of denominators i.e. for 440,3422 is 2.

Thus, LCM of Fractions is 375102.Finally, LCM of Fractions for 117/440, 6412/3422 is 375102.