Least Common Multiple of 46/677, 27/596, 787/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/677, 27/596, 787/198 quickly i.e. 977454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/677, 27/596, 787/198 is 977454.

LCM(46/677, 27/596, 787/198) = 977454

LCM of 46/677, 27/596, 787/198

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 46/677,27/596,787/198

Given numbers are 46/677,27/596,787/198

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 46,27,787

Least Common Multiple of Numerators i.e. LCM of 46,27,787 is 977454.

GCF of Denominators means GCF of 677,596,198 as per the given fractions.

GCF of 677,596,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,27,787

LCM of Fractions 46/677,27/596,787/198 is 977454

Given numbers has no common factors except 1. So, there LCM is their product i.e 977454

Least Common Multiple of 46,27,787 with GCF Formula

Least Common Multiple of 46,27,787 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 46,27,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,27,787) = 1

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

GCF(46,27,787) x common factors =1 x 1 = 1

LCM(46,27,787) = ( 46 × 27 × 787 ) / 1

LCM(46,27,787) = 977454 / 1

LCM(46,27,787) = 977454


Lets's calculate GCF of 677,596,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 977454/1

Therefore the LCM of Fractions 46/677,27/596,787/198 is 977454

Greatest Common Factor of 677,596,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,596,198 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

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

Greatest Common Factor

We found the factors 677,596,198 . The biggest common factor number is the GCF number.
So the greatest common factor 677,596,198 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 46/677, 27/596, 787/198

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 46/677, 27/596, 787/198?

Answer: LCM of Numerators as per given numbers 46/677, 27/596, 787/198 is

LCM of Numerators i.e. for 46,27,787 is 977454

GCF of denominators i.e. for 677,596,198 is 1.

Thus, LCM of Fractions is 977454.Finally, LCM of Fractions for 46/677, 27/596, 787/198 is 977454.