Least Common Multiple of 58/67, 522/28, 997/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/67, 522/28, 997/271 quickly i.e. 520434 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/67, 522/28, 997/271 is 520434.

LCM(58/67, 522/28, 997/271) = 520434

LCM of 58/67, 522/28, 997/271

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 58/67,522/28,997/271

Given numbers are 58/67,522/28,997/271

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 58,522,997

Least Common Multiple of Numerators i.e. LCM of 58,522,997 is 520434.

GCF of Denominators means GCF of 67,28,271 as per the given fractions.

GCF of 67,28,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,522,997

LCM of Fractions 58/67,522/28,997/271 is 520434

2 58, 522, 997
29 29, 261, 997
1, 9, 997

∴ So the LCM of the given numbers is 2 x 29 x 1 x 9 x 997 = 520434

Least Common Multiple of 58,522,997 with GCF Formula

Least Common Multiple of 58,522,997 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 58,522,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,522,997) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(58,522,997) x common factors =1 x 58 = 58

LCM(58,522,997) = ( 58 × 522 × 997 ) / 58

LCM(58,522,997) = 30185172 / 58

LCM(58,522,997) = 520434


Lets's calculate GCF of 67,28,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 520434/1

Therefore the LCM of Fractions 58/67,522/28,997/271 is 520434

Greatest Common Factor of 67,28,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,28,271 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 67,28,271 . The biggest common factor number is the GCF number.
So the greatest common factor 67,28,271 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/67, 522/28, 997/271

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 58/67, 522/28, 997/271?

Answer: LCM of Numerators as per given numbers 58/67, 522/28, 997/271 is

LCM of Numerators i.e. for 58,522,997 is 520434

GCF of denominators i.e. for 67,28,271 is 1.

Thus, LCM of Fractions is 520434.Finally, LCM of Fractions for 58/67, 522/28, 997/271 is 520434.