Least Common Multiple of 557/58, 188/9947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 557/58, 188/9947 quickly i.e. 104716/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 557/58, 188/9947 is 104716/29.

LCM(557/58, 188/9947) = 104716/29

LCM of 557/58, 188/9947

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 557/58,188/9947

Given numbers are 557/58,188/9947

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 557,188

Least Common Multiple of Numerators i.e. LCM of 557,188 is 104716.

GCF of Denominators means GCF of 58,9947 as per the given fractions.

GCF of 58,9947 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 557,188

LCM of Fractions 557/58,188/9947 is 104716/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 104716

Least Common Multiple of 557,188 with GCF Formula

Least Common Multiple of 557,188 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 557,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,188) = 1

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

GCF(557,188) x common factors =1 x 1 = 1

LCM(557,188) = ( 557 × 188 ) / 1

LCM(557,188) = 104716 / 1

LCM(557,188) = 104716


Lets's calculate GCF of 58,9947

29 58, 9947
2, 343

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104716/29

Therefore the LCM of Fractions 557/58,188/9947 is 104716/29

Greatest Common Factor of 58,9947 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,9947 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 9947

List of positive integer factors of 9947 that divides 9947 without a remainder.

1,7,29,49,203,343,1421,9947

Greatest Common Factor

We found the factors 58,9947 . The biggest common factor number is the GCF number.
So the greatest common factor 58,9947 is 29.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 557/58, 188/9947

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 557/58, 188/9947?

Answer: LCM of Numerators as per given numbers 557/58, 188/9947 is

LCM of Numerators i.e. for 557,188 is 104716

GCF of denominators i.e. for 58,9947 is 29.

Thus, LCM of Fractions is 104716/29.Finally, LCM of Fractions for 557/58, 188/9947 is 104716/29.