Least Common Multiple of 455/482, 3780/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 455/482, 3780/392 quickly i.e. 24570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 455/482, 3780/392 is 24570.

LCM(455/482, 3780/392) = 24570

LCM of 455/482, 3780/392

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 455/482,3780/392

Given numbers are 455/482,3780/392

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 455,3780

Least Common Multiple of Numerators i.e. LCM of 455,3780 is 49140.

GCF of Denominators means GCF of 482,392 as per the given fractions.

GCF of 482,392 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 455,3780

LCM of Fractions 455/482,3780/392 is 24570

5 455, 3780
7 91, 756
13, 108

∴ So the LCM of the given numbers is 5 x 7 x 13 x 108 = 49140

Least Common Multiple of 455,3780 with GCF Formula

Least Common Multiple of 455,3780 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 455,3780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,3780) = 35

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

GCF(455,3780) x common factors =35 x 1 = 35

LCM(455,3780) = ( 455 × 3780 ) / 35

LCM(455,3780) = 1719900 / 35

LCM(455,3780) = 49140


Lets's calculate GCF of 482,392

2 482, 392
241, 196

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49140/2

Therefore the LCM of Fractions 455/482,3780/392 is 24570

Greatest Common Factor of 482,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,392 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 482,392 . The biggest common factor number is the GCF number.
So the greatest common factor 482,392 is 2.


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 455/482, 3780/392

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 455/482, 3780/392?

Answer: LCM of Numerators as per given numbers 455/482, 3780/392 is

LCM of Numerators i.e. for 455,3780 is 49140

GCF of denominators i.e. for 482,392 is 2.

Thus, LCM of Fractions is 24570.Finally, LCM of Fractions for 455/482, 3780/392 is 24570.