Least Common Multiple of 3764/425, 8496/2033

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3764/425, 8496/2033 quickly i.e. 7994736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3764/425, 8496/2033 is 7994736.

LCM(3764/425, 8496/2033) = 7994736

LCM of 3764/425, 8496/2033

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 3764/425,8496/2033

Given numbers are 3764/425,8496/2033

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 3764,8496

Least Common Multiple of Numerators i.e. LCM of 3764,8496 is 7994736.

GCF of Denominators means GCF of 425,2033 as per the given fractions.

GCF of 425,2033 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3764,8496

LCM of Fractions 3764/425,8496/2033 is 7994736

2 3764, 8496
2 1882, 4248
941, 2124

∴ So the LCM of the given numbers is 2 x 2 x 941 x 2124 = 7994736

Least Common Multiple of 3764,8496 with GCF Formula

Least Common Multiple of 3764,8496 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 3764,8496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3764,8496) = 4

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

GCF(3764,8496) x common factors =4 x 1 = 4

LCM(3764,8496) = ( 3764 × 8496 ) / 4

LCM(3764,8496) = 31978944 / 4

LCM(3764,8496) = 7994736


Lets's calculate GCF of 425,2033

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7994736/1

Therefore the LCM of Fractions 3764/425,8496/2033 is 7994736

Greatest Common Factor of 425,2033 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,2033 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 2033

List of positive integer factors of 2033 that divides 2033 without a remainder.

1,19,107,2033

Greatest Common Factor

We found the factors 425,2033 . The biggest common factor number is the GCF number.
So the greatest common factor 425,2033 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3764/425, 8496/2033

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 3764/425, 8496/2033?

Answer: LCM of Numerators as per given numbers 3764/425, 8496/2033 is

LCM of Numerators i.e. for 3764,8496 is 7994736

GCF of denominators i.e. for 425,2033 is 1.

Thus, LCM of Fractions is 7994736.Finally, LCM of Fractions for 3764/425, 8496/2033 is 7994736.