Least Common Multiple of 3658/83, 3460/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3658/83, 3460/398 quickly i.e. 6328340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3658/83, 3460/398 is 6328340.

LCM(3658/83, 3460/398) = 6328340

LCM of 3658/83, 3460/398

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 3658/83,3460/398

Given numbers are 3658/83,3460/398

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 3658,3460

Least Common Multiple of Numerators i.e. LCM of 3658,3460 is 6328340.

GCF of Denominators means GCF of 83,398 as per the given fractions.

GCF of 83,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3658,3460

LCM of Fractions 3658/83,3460/398 is 6328340

2 3658, 3460
1829, 1730

∴ So the LCM of the given numbers is 2 x 1829 x 1730 = 6328340

Least Common Multiple of 3658,3460 with GCF Formula

Least Common Multiple of 3658,3460 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 3658,3460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3658,3460) = 2

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

GCF(3658,3460) x common factors =2 x 1 = 2

LCM(3658,3460) = ( 3658 × 3460 ) / 2

LCM(3658,3460) = 12656680 / 2

LCM(3658,3460) = 6328340


Lets's calculate GCF of 83,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6328340/1

Therefore the LCM of Fractions 3658/83,3460/398 is 6328340

Greatest Common Factor of 83,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,398 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 83,398 . The biggest common factor number is the GCF number.
So the greatest common factor 83,398 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 3658/83, 3460/398

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 3658/83, 3460/398?

Answer: LCM of Numerators as per given numbers 3658/83, 3460/398 is

LCM of Numerators i.e. for 3658,3460 is 6328340

GCF of denominators i.e. for 83,398 is 1.

Thus, LCM of Fractions is 6328340.Finally, LCM of Fractions for 3658/83, 3460/398 is 6328340.