Least Common Multiple of 3428/361, 3262/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3428/361, 3262/339 quickly i.e. 5591068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3428/361, 3262/339 is 5591068.

LCM(3428/361, 3262/339) = 5591068

LCM of 3428/361, 3262/339

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 3428/361,3262/339

Given numbers are 3428/361,3262/339

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 3428,3262

Least Common Multiple of Numerators i.e. LCM of 3428,3262 is 5591068.

GCF of Denominators means GCF of 361,339 as per the given fractions.

GCF of 361,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3428,3262

LCM of Fractions 3428/361,3262/339 is 5591068

2 3428, 3262
1714, 1631

∴ So the LCM of the given numbers is 2 x 1714 x 1631 = 5591068

Least Common Multiple of 3428,3262 with GCF Formula

Least Common Multiple of 3428,3262 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 3428,3262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3428,3262) = 2

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

GCF(3428,3262) x common factors =2 x 1 = 2

LCM(3428,3262) = ( 3428 × 3262 ) / 2

LCM(3428,3262) = 11182136 / 2

LCM(3428,3262) = 5591068


Lets's calculate GCF of 361,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5591068/1

Therefore the LCM of Fractions 3428/361,3262/339 is 5591068

Greatest Common Factor of 361,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,339 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 361,339 . The biggest common factor number is the GCF number.
So the greatest common factor 361,339 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 3428/361, 3262/339

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 3428/361, 3262/339?

Answer: LCM of Numerators as per given numbers 3428/361, 3262/339 is

LCM of Numerators i.e. for 3428,3262 is 5591068

GCF of denominators i.e. for 361,339 is 1.

Thus, LCM of Fractions is 5591068.Finally, LCM of Fractions for 3428/361, 3262/339 is 5591068.