Least Common Multiple of 3825/472, 3787/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3825/472, 3787/499 quickly i.e. 14485275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3825/472, 3787/499 is 14485275.

LCM(3825/472, 3787/499) = 14485275

LCM of 3825/472, 3787/499

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 3825/472,3787/499

Given numbers are 3825/472,3787/499

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 3825,3787

Least Common Multiple of Numerators i.e. LCM of 3825,3787 is 14485275.

GCF of Denominators means GCF of 472,499 as per the given fractions.

GCF of 472,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3825,3787

LCM of Fractions 3825/472,3787/499 is 14485275

Given numbers has no common factors except 1. So, there LCM is their product i.e 14485275

Least Common Multiple of 3825,3787 with GCF Formula

Least Common Multiple of 3825,3787 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 3825,3787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3825,3787) = 1

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

GCF(3825,3787) x common factors =1 x 1 = 1

LCM(3825,3787) = ( 3825 × 3787 ) / 1

LCM(3825,3787) = 14485275 / 1

LCM(3825,3787) = 14485275


Lets's calculate GCF of 472,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14485275/1

Therefore the LCM of Fractions 3825/472,3787/499 is 14485275

Greatest Common Factor of 472,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,499 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 472,499 . The biggest common factor number is the GCF number.
So the greatest common factor 472,499 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 3825/472, 3787/499

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 3825/472, 3787/499?

Answer: LCM of Numerators as per given numbers 3825/472, 3787/499 is

LCM of Numerators i.e. for 3825,3787 is 14485275

GCF of denominators i.e. for 472,499 is 1.

Thus, LCM of Fractions is 14485275.Finally, LCM of Fractions for 3825/472, 3787/499 is 14485275.