Least Common Multiple of 105/49, 590/5454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/49, 590/5454 quickly i.e. 12390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/49, 590/5454 is 12390.

LCM(105/49, 590/5454) = 12390

LCM of 105/49, 590/5454

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 105/49,590/5454

Given numbers are 105/49,590/5454

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 105,590

Least Common Multiple of Numerators i.e. LCM of 105,590 is 12390.

GCF of Denominators means GCF of 49,5454 as per the given fractions.

GCF of 49,5454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,590

LCM of Fractions 105/49,590/5454 is 12390

5 105, 590
21, 118

∴ So the LCM of the given numbers is 5 x 21 x 118 = 12390

Least Common Multiple of 105,590 with GCF Formula

Least Common Multiple of 105,590 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 105,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,590) = 5

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

GCF(105,590) x common factors =5 x 1 = 5

LCM(105,590) = ( 105 × 590 ) / 5

LCM(105,590) = 61950 / 5

LCM(105,590) = 12390


Lets's calculate GCF of 49,5454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12390/1

Therefore the LCM of Fractions 105/49,590/5454 is 12390

Greatest Common Factor of 49,5454 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,5454 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 5454

List of positive integer factors of 5454 that divides 5454 without a remainder.

1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454

Greatest Common Factor

We found the factors 49,5454 . The biggest common factor number is the GCF number.
So the greatest common factor 49,5454 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 105/49, 590/5454

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 105/49, 590/5454?

Answer: LCM of Numerators as per given numbers 105/49, 590/5454 is

LCM of Numerators i.e. for 105,590 is 12390

GCF of denominators i.e. for 49,5454 is 1.

Thus, LCM of Fractions is 12390.Finally, LCM of Fractions for 105/49, 590/5454 is 12390.