Least Common Multiple of 599/47, 388/97, 741/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 599/47, 388/97, 741/984 quickly i.e. 172217292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 599/47, 388/97, 741/984 is 172217292.

LCM(599/47, 388/97, 741/984) = 172217292

LCM of 599/47, 388/97, 741/984

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 599/47,388/97,741/984

Given numbers are 599/47,388/97,741/984

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 599,388,741

Least Common Multiple of Numerators i.e. LCM of 599,388,741 is 172217292.

GCF of Denominators means GCF of 47,97,984 as per the given fractions.

GCF of 47,97,984 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 599,388,741

LCM of Fractions 599/47,388/97,741/984 is 172217292

Given numbers has no common factors except 1. So, there LCM is their product i.e 172217292

Least Common Multiple of 599,388,741 with GCF Formula

Least Common Multiple of 599,388,741 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 599,388,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(599,388,741) = 1

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

GCF(599,388,741) x common factors =1 x 1 = 1

LCM(599,388,741) = ( 599 × 388 × 741 ) / 1

LCM(599,388,741) = 172217292 / 1

LCM(599,388,741) = 172217292


Lets's calculate GCF of 47,97,984

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172217292/1

Therefore the LCM of Fractions 599/47,388/97,741/984 is 172217292

Greatest Common Factor of 47,97,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,97,984 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 47,97,984 . The biggest common factor number is the GCF number.
So the greatest common factor 47,97,984 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 599/47, 388/97, 741/984

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 599/47, 388/97, 741/984?

Answer: LCM of Numerators as per given numbers 599/47, 388/97, 741/984 is

LCM of Numerators i.e. for 599,388,741 is 172217292

GCF of denominators i.e. for 47,97,984 is 1.

Thus, LCM of Fractions is 172217292.Finally, LCM of Fractions for 599/47, 388/97, 741/984 is 172217292.