Least Common Multiple of 382/496, 3145/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 382/496, 3145/124 quickly i.e. 1201390/124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 382/496, 3145/124 is 1201390/124.

LCM(382/496, 3145/124) = 1201390/124

LCM of 382/496, 3145/124

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 382/496,3145/124

Given numbers are 382/496,3145/124

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 382,3145

Least Common Multiple of Numerators i.e. LCM of 382,3145 is 1201390.

GCF of Denominators means GCF of 496,124 as per the given fractions.

GCF of 496,124 is 124 as it is the largest common factor for these numbers.

Lets's calculate LCM of 382,3145

LCM of Fractions 382/496,3145/124 is 1201390/124

Given numbers has no common factors except 1. So, there LCM is their product i.e 1201390

Least Common Multiple of 382,3145 with GCF Formula

Least Common Multiple of 382,3145 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 382,3145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,3145) = 1

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

GCF(382,3145) x common factors =1 x 1 = 1

LCM(382,3145) = ( 382 × 3145 ) / 1

LCM(382,3145) = 1201390 / 1

LCM(382,3145) = 1201390


Lets's calculate GCF of 496,124

2 496, 124
2 248, 62
31 124, 31
4, 1

∴ So the GCF of the given numbers is 2 x 2 x 31 = 124

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1201390/124

Therefore the LCM of Fractions 382/496,3145/124 is 1201390/124

Greatest Common Factor of 496,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,124 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 496,124 . The biggest common factor number is the GCF number.
So the greatest common factor 496,124 is 124.


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 382/496, 3145/124

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 382/496, 3145/124?

Answer: LCM of Numerators as per given numbers 382/496, 3145/124 is

LCM of Numerators i.e. for 382,3145 is 1201390

GCF of denominators i.e. for 496,124 is 124.

Thus, LCM of Fractions is 1201390/124.Finally, LCM of Fractions for 382/496, 3145/124 is 1201390/124.