Least Common Multiple of 199/99, 738/19, 177/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 199/99, 738/19, 177/754 quickly i.e. 8664858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/99, 738/19, 177/754 is 8664858.

LCM(199/99, 738/19, 177/754) = 8664858

LCM of 199/99, 738/19, 177/754

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 199/99,738/19,177/754

Given numbers are 199/99,738/19,177/754

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 199,738,177

Least Common Multiple of Numerators i.e. LCM of 199,738,177 is 8664858.

GCF of Denominators means GCF of 99,19,754 as per the given fractions.

GCF of 99,19,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,738,177

LCM of Fractions 199/99,738/19,177/754 is 8664858

3 199, 738, 177
199, 246, 59

∴ So the LCM of the given numbers is 3 x 199 x 246 x 59 = 8664858

Least Common Multiple of 199,738,177 with GCF Formula

Least Common Multiple of 199,738,177 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 199,738,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,738,177) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(199,738,177) x common factors =1 x 3 = 3

LCM(199,738,177) = ( 199 × 738 × 177 ) / 3

LCM(199,738,177) = 25994574 / 3

LCM(199,738,177) = 8664858


Lets's calculate GCF of 99,19,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8664858/1

Therefore the LCM of Fractions 199/99,738/19,177/754 is 8664858

Greatest Common Factor of 99,19,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,19,754 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 99,19,754 . The biggest common factor number is the GCF number.
So the greatest common factor 99,19,754 is 1.


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Frequently Asked Questions on Fractional LCM of 199/99, 738/19, 177/754

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 199/99, 738/19, 177/754?

Answer: LCM of Numerators as per given numbers 199/99, 738/19, 177/754 is

LCM of Numerators i.e. for 199,738,177 is 8664858

GCF of denominators i.e. for 99,19,754 is 1.

Thus, LCM of Fractions is 8664858.Finally, LCM of Fractions for 199/99, 738/19, 177/754 is 8664858.