Least Common Multiple of 998/51, 188/56, 449/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 998/51, 188/56, 449/618 quickly i.e. 42121588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/51, 188/56, 449/618 is 42121588.

LCM(998/51, 188/56, 449/618) = 42121588

LCM of 998/51, 188/56, 449/618

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 998/51,188/56,449/618

Given numbers are 998/51,188/56,449/618

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 998,188,449

Least Common Multiple of Numerators i.e. LCM of 998,188,449 is 42121588.

GCF of Denominators means GCF of 51,56,618 as per the given fractions.

GCF of 51,56,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,188,449

LCM of Fractions 998/51,188/56,449/618 is 42121588

2 998, 188, 449
499, 94, 449

∴ So the LCM of the given numbers is 2 x 499 x 94 x 449 = 42121588

Least Common Multiple of 998,188,449 with GCF Formula

Least Common Multiple of 998,188,449 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 998,188,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,188,449) = 1

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

GCF(998,188,449) x common factors =1 x 2 = 2

LCM(998,188,449) = ( 998 × 188 × 449 ) / 2

LCM(998,188,449) = 84243176 / 2

LCM(998,188,449) = 42121588


Lets's calculate GCF of 51,56,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42121588/1

Therefore the LCM of Fractions 998/51,188/56,449/618 is 42121588

Greatest Common Factor of 51,56,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,56,618 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 51,56,618 . The biggest common factor number is the GCF number.
So the greatest common factor 51,56,618 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 998/51, 188/56, 449/618

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 998/51, 188/56, 449/618?

Answer: LCM of Numerators as per given numbers 998/51, 188/56, 449/618 is

LCM of Numerators i.e. for 998,188,449 is 42121588

GCF of denominators i.e. for 51,56,618 is 1.

Thus, LCM of Fractions is 42121588.Finally, LCM of Fractions for 998/51, 188/56, 449/618 is 42121588.