Least Common Multiple of 55/58, 79/53, 17/31, 58/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 55/58, 79/53, 17/31, 58/293 quickly i.e. 4284170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/58, 79/53, 17/31, 58/293 is 4284170.

LCM(55/58, 79/53, 17/31, 58/293) = 4284170

LCM of 55/58, 79/53, 17/31, 58/293

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 55/58,79/53,17/31,58/293

Given numbers are 55/58,79/53,17/31,58/293

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 55,79,17,58

Least Common Multiple of Numerators i.e. LCM of 55,79,17,58 is 4284170.

GCF of Denominators means GCF of 58,53,31,293 as per the given fractions.

GCF of 58,53,31,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,79,17,58

LCM of Fractions 55/58,79/53,17/31,58/293 is 4284170

Given numbers has no common factors except 1. So, there LCM is their product i.e 4284170

Least Common Multiple of 55,79,17,58 with GCF Formula

Least Common Multiple of 55,79,17,58 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 55,79,17,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,79,17,58) = 1

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

GCF(55,79,17,58) x common factors =1 x 1 = 1

LCM(55,79,17,58) = ( 55 × 79 × 17 × 58 ) / 1

LCM(55,79,17,58) = 4284170 / 1

LCM(55,79,17,58) = 4284170


Lets's calculate GCF of 58,53,31,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4284170/1

Therefore the LCM of Fractions 55/58,79/53,17/31,58/293 is 4284170

Greatest Common Factor of 58,53,31,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,53,31,293 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 53

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

1,53

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 58,53,31,293 . The biggest common factor number is the GCF number.
So the greatest common factor 58,53,31,293 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 55/58, 79/53, 17/31, 58/293

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 55/58, 79/53, 17/31, 58/293?

Answer: LCM of Numerators as per given numbers 55/58, 79/53, 17/31, 58/293 is

LCM of Numerators i.e. for 55,79,17,58 is 4284170

GCF of denominators i.e. for 58,53,31,293 is 1.

Thus, LCM of Fractions is 4284170.Finally, LCM of Fractions for 55/58, 79/53, 17/31, 58/293 is 4284170.