Least Common Multiple of 58/12, 49/22, 31/33, 25/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/12, 49/22, 31/33, 25/469 quickly i.e. 2202550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/12, 49/22, 31/33, 25/469 is 2202550.

LCM(58/12, 49/22, 31/33, 25/469) = 2202550

LCM of 58/12, 49/22, 31/33, 25/469

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 58/12,49/22,31/33,25/469

Given numbers are 58/12,49/22,31/33,25/469

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 58,49,31,25

Least Common Multiple of Numerators i.e. LCM of 58,49,31,25 is 2202550.

GCF of Denominators means GCF of 12,22,33,469 as per the given fractions.

GCF of 12,22,33,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,49,31,25

LCM of Fractions 58/12,49/22,31/33,25/469 is 2202550

Given numbers has no common factors except 1. So, there LCM is their product i.e 2202550

Least Common Multiple of 58,49,31,25 with GCF Formula

Least Common Multiple of 58,49,31,25 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 58,49,31,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,49,31,25) = 1

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

GCF(58,49,31,25) x common factors =1 x 1 = 1

LCM(58,49,31,25) = ( 58 × 49 × 31 × 25 ) / 1

LCM(58,49,31,25) = 2202550 / 1

LCM(58,49,31,25) = 2202550


Lets's calculate GCF of 12,22,33,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2202550/1

Therefore the LCM of Fractions 58/12,49/22,31/33,25/469 is 2202550

Greatest Common Factor of 12,22,33,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,22,33,469 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 12,22,33,469 . The biggest common factor number is the GCF number.
So the greatest common factor 12,22,33,469 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 58/12, 49/22, 31/33, 25/469

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 58/12, 49/22, 31/33, 25/469?

Answer: LCM of Numerators as per given numbers 58/12, 49/22, 31/33, 25/469 is

LCM of Numerators i.e. for 58,49,31,25 is 2202550

GCF of denominators i.e. for 12,22,33,469 is 1.

Thus, LCM of Fractions is 2202550.Finally, LCM of Fractions for 58/12, 49/22, 31/33, 25/469 is 2202550.