Least Common Multiple of 8011/350, 4574/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8011/350, 4574/194 quickly i.e. 18321157 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8011/350, 4574/194 is 18321157.

LCM(8011/350, 4574/194) = 18321157

LCM of 8011/350, 4574/194

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 8011/350,4574/194

Given numbers are 8011/350,4574/194

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 8011,4574

Least Common Multiple of Numerators i.e. LCM of 8011,4574 is 36642314.

GCF of Denominators means GCF of 350,194 as per the given fractions.

GCF of 350,194 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8011,4574

LCM of Fractions 8011/350,4574/194 is 18321157

Given numbers has no common factors except 1. So, there LCM is their product i.e 36642314

Least Common Multiple of 8011,4574 with GCF Formula

Least Common Multiple of 8011,4574 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 8011,4574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8011,4574) = 1

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

GCF(8011,4574) x common factors =1 x 1 = 1

LCM(8011,4574) = ( 8011 × 4574 ) / 1

LCM(8011,4574) = 36642314 / 1

LCM(8011,4574) = 36642314


Lets's calculate GCF of 350,194

2 350, 194
175, 97

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36642314/2

Therefore the LCM of Fractions 8011/350,4574/194 is 18321157

Greatest Common Factor of 350,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,194 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 350,194 . The biggest common factor number is the GCF number.
So the greatest common factor 350,194 is 2.


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Frequently Asked Questions on Fractional LCM of 8011/350, 4574/194

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 8011/350, 4574/194?

Answer: LCM of Numerators as per given numbers 8011/350, 4574/194 is

LCM of Numerators i.e. for 8011,4574 is 36642314

GCF of denominators i.e. for 350,194 is 2.

Thus, LCM of Fractions is 18321157.Finally, LCM of Fractions for 8011/350, 4574/194 is 18321157.