Least Common Multiple of 74/998, 638/198, 104/807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/998, 638/198, 104/807 quickly i.e. 1227512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/998, 638/198, 104/807 is 1227512.

LCM(74/998, 638/198, 104/807) = 1227512

LCM of 74/998, 638/198, 104/807

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 74/998,638/198,104/807

Given numbers are 74/998,638/198,104/807

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 74,638,104

Least Common Multiple of Numerators i.e. LCM of 74,638,104 is 1227512.

GCF of Denominators means GCF of 998,198,807 as per the given fractions.

GCF of 998,198,807 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,638,104

LCM of Fractions 74/998,638/198,104/807 is 1227512

2 74, 638, 104
37, 319, 52

∴ So the LCM of the given numbers is 2 x 37 x 319 x 52 = 1227512

Least Common Multiple of 74,638,104 with GCF Formula

Least Common Multiple of 74,638,104 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 74,638,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,638,104) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(74,638,104) x common factors =2 x 2 = 4

LCM(74,638,104) = ( 74 × 638 × 104 ) / 4

LCM(74,638,104) = 4910048 / 4

LCM(74,638,104) = 1227512


Lets's calculate GCF of 998,198,807

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1227512/1

Therefore the LCM of Fractions 74/998,638/198,104/807 is 1227512

Greatest Common Factor of 998,198,807 By Matching Biggest Common Factor Method

Greatest Common Factor of 998,198,807 By Matching Biggest Common Factor Method

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Greatest Common Factor

We found the factors 998,198,807 . The biggest common factor number is the GCF number.
So the greatest common factor 998,198,807 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 74/998, 638/198, 104/807

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 74/998, 638/198, 104/807?

Answer: LCM of Numerators as per given numbers 74/998, 638/198, 104/807 is

LCM of Numerators i.e. for 74,638,104 is 1227512

GCF of denominators i.e. for 998,198,807 is 1.

Thus, LCM of Fractions is 1227512.Finally, LCM of Fractions for 74/998, 638/198, 104/807 is 1227512.