Least Common Multiple of 3834/264, 4186/421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3834/264, 4186/421 quickly i.e. 8024562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3834/264, 4186/421 is 8024562.

LCM(3834/264, 4186/421) = 8024562

LCM of 3834/264, 4186/421

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 3834/264,4186/421

Given numbers are 3834/264,4186/421

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 3834,4186

Least Common Multiple of Numerators i.e. LCM of 3834,4186 is 8024562.

GCF of Denominators means GCF of 264,421 as per the given fractions.

GCF of 264,421 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3834,4186

LCM of Fractions 3834/264,4186/421 is 8024562

2 3834, 4186
1917, 2093

∴ So the LCM of the given numbers is 2 x 1917 x 2093 = 8024562

Least Common Multiple of 3834,4186 with GCF Formula

Least Common Multiple of 3834,4186 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 3834,4186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3834,4186) = 2

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

GCF(3834,4186) x common factors =2 x 1 = 2

LCM(3834,4186) = ( 3834 × 4186 ) / 2

LCM(3834,4186) = 16049124 / 2

LCM(3834,4186) = 8024562


Lets's calculate GCF of 264,421

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8024562/1

Therefore the LCM of Fractions 3834/264,4186/421 is 8024562

Greatest Common Factor of 264,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,421 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 264,421 . The biggest common factor number is the GCF number.
So the greatest common factor 264,421 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3834/264, 4186/421

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 3834/264, 4186/421?

Answer: LCM of Numerators as per given numbers 3834/264, 4186/421 is

LCM of Numerators i.e. for 3834,4186 is 8024562

GCF of denominators i.e. for 264,421 is 1.

Thus, LCM of Fractions is 8024562.Finally, LCM of Fractions for 3834/264, 4186/421 is 8024562.