Least Common Multiple of 97/58, 76/37, 23/49, 81/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/58, 76/37, 23/49, 81/286 quickly i.e. 13734036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/58, 76/37, 23/49, 81/286 is 13734036.

LCM(97/58, 76/37, 23/49, 81/286) = 13734036

LCM of 97/58, 76/37, 23/49, 81/286

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 97/58,76/37,23/49,81/286

Given numbers are 97/58,76/37,23/49,81/286

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 97,76,23,81

Least Common Multiple of Numerators i.e. LCM of 97,76,23,81 is 13734036.

GCF of Denominators means GCF of 58,37,49,286 as per the given fractions.

GCF of 58,37,49,286 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,76,23,81

LCM of Fractions 97/58,76/37,23/49,81/286 is 13734036

Given numbers has no common factors except 1. So, there LCM is their product i.e 13734036

Least Common Multiple of 97,76,23,81 with GCF Formula

Least Common Multiple of 97,76,23,81 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 97,76,23,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,76,23,81) = 1

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

GCF(97,76,23,81) x common factors =1 x 1 = 1

LCM(97,76,23,81) = ( 97 × 76 × 23 × 81 ) / 1

LCM(97,76,23,81) = 13734036 / 1

LCM(97,76,23,81) = 13734036


Lets's calculate GCF of 58,37,49,286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13734036/1

Therefore the LCM of Fractions 97/58,76/37,23/49,81/286 is 13734036

Greatest Common Factor of 58,37,49,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,37,49,286 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 49

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

1,7,49

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 58,37,49,286 . The biggest common factor number is the GCF number.
So the greatest common factor 58,37,49,286 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 97/58, 76/37, 23/49, 81/286

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 97/58, 76/37, 23/49, 81/286?

Answer: LCM of Numerators as per given numbers 97/58, 76/37, 23/49, 81/286 is

LCM of Numerators i.e. for 97,76,23,81 is 13734036

GCF of denominators i.e. for 58,37,49,286 is 1.

Thus, LCM of Fractions is 13734036.Finally, LCM of Fractions for 97/58, 76/37, 23/49, 81/286 is 13734036.