Least Common Multiple of 45/53, 31/41, 39/10, 49/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/53, 31/41, 39/10, 49/365 quickly i.e. 888615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/53, 31/41, 39/10, 49/365 is 888615.

LCM(45/53, 31/41, 39/10, 49/365) = 888615

LCM of 45/53, 31/41, 39/10, 49/365

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 45/53,31/41,39/10,49/365

Given numbers are 45/53,31/41,39/10,49/365

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 45,31,39,49

Least Common Multiple of Numerators i.e. LCM of 45,31,39,49 is 888615.

GCF of Denominators means GCF of 53,41,10,365 as per the given fractions.

GCF of 53,41,10,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,31,39,49

LCM of Fractions 45/53,31/41,39/10,49/365 is 888615

3 45, 31, 39, 49
15, 31, 13, 49

∴ So the LCM of the given numbers is 3 x 15 x 31 x 13 x 49 = 888615

Least Common Multiple of 45,31,39,49 with GCF Formula

Least Common Multiple of 45,31,39,49 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 45,31,39,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,31,39,49) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(45,31,39,49) x common factors =1 x 3 = 3

LCM(45,31,39,49) = ( 45 × 31 × 39 × 49 ) / 3

LCM(45,31,39,49) = 2665845 / 3

LCM(45,31,39,49) = 888615


Lets's calculate GCF of 53,41,10,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 888615/1

Therefore the LCM of Fractions 45/53,31/41,39/10,49/365 is 888615

Greatest Common Factor of 53,41,10,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,41,10,365 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 53,41,10,365 . The biggest common factor number is the GCF number.
So the greatest common factor 53,41,10,365 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 45/53, 31/41, 39/10, 49/365

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 45/53, 31/41, 39/10, 49/365?

Answer: LCM of Numerators as per given numbers 45/53, 31/41, 39/10, 49/365 is

LCM of Numerators i.e. for 45,31,39,49 is 888615

GCF of denominators i.e. for 53,41,10,365 is 1.

Thus, LCM of Fractions is 888615.Finally, LCM of Fractions for 45/53, 31/41, 39/10, 49/365 is 888615.