Least Common Multiple of 3400/418, 5882/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3400/418, 5882/177 quickly i.e. 588200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3400/418, 5882/177 is 588200.

LCM(3400/418, 5882/177) = 588200

LCM of 3400/418, 5882/177

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 3400/418,5882/177

Given numbers are 3400/418,5882/177

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 3400,5882

Least Common Multiple of Numerators i.e. LCM of 3400,5882 is 588200.

GCF of Denominators means GCF of 418,177 as per the given fractions.

GCF of 418,177 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3400,5882

LCM of Fractions 3400/418,5882/177 is 588200

2 3400, 5882
17 1700, 2941
100, 173

∴ So the LCM of the given numbers is 2 x 17 x 100 x 173 = 588200

Least Common Multiple of 3400,5882 with GCF Formula

Least Common Multiple of 3400,5882 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 3400,5882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3400,5882) = 34

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

GCF(3400,5882) x common factors =34 x 1 = 34

LCM(3400,5882) = ( 3400 × 5882 ) / 34

LCM(3400,5882) = 19998800 / 34

LCM(3400,5882) = 588200


Lets's calculate GCF of 418,177

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 588200/1

Therefore the LCM of Fractions 3400/418,5882/177 is 588200

Greatest Common Factor of 418,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,177 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 418,177 . The biggest common factor number is the GCF number.
So the greatest common factor 418,177 is 1.


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 3400/418, 5882/177

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 3400/418, 5882/177?

Answer: LCM of Numerators as per given numbers 3400/418, 5882/177 is

LCM of Numerators i.e. for 3400,5882 is 588200

GCF of denominators i.e. for 418,177 is 1.

Thus, LCM of Fractions is 588200.Finally, LCM of Fractions for 3400/418, 5882/177 is 588200.