Least Common Multiple of 639/667, 770/667, 198/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 639/667, 770/667, 198/187 quickly i.e. 492030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 639/667, 770/667, 198/187 is 492030.

LCM(639/667, 770/667, 198/187) = 492030

LCM of 639/667, 770/667, 198/187

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 639/667,770/667,198/187

Given numbers are 639/667,770/667,198/187

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 639,770,198

Least Common Multiple of Numerators i.e. LCM of 639,770,198 is 492030.

GCF of Denominators means GCF of 667,667,187 as per the given fractions.

GCF of 667,667,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 639,770,198

LCM of Fractions 639/667,770/667,198/187 is 492030

2 639, 770, 198
3 639, 385, 99
3 213, 385, 33
11 71, 385, 11
71, 35, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 71 x 35 x 1 = 492030

Least Common Multiple of 639,770,198 with GCF Formula

Least Common Multiple of 639,770,198 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 639,770,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(639,770,198) = 1

common factors(in case of two or more numbers have common factors) = 198

GCF(639,770,198) x common factors =1 x 198 = 198

LCM(639,770,198) = ( 639 × 770 × 198 ) / 198

LCM(639,770,198) = 97421940 / 198

LCM(639,770,198) = 492030


Lets's calculate GCF of 667,667,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 492030/1

Therefore the LCM of Fractions 639/667,770/667,198/187 is 492030

Greatest Common Factor of 667,667,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,667,187 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 667,667,187 . The biggest common factor number is the GCF number.
So the greatest common factor 667,667,187 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 639/667, 770/667, 198/187

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 639/667, 770/667, 198/187?

Answer: LCM of Numerators as per given numbers 639/667, 770/667, 198/187 is

LCM of Numerators i.e. for 639,770,198 is 492030

GCF of denominators i.e. for 667,667,187 is 1.

Thus, LCM of Fractions is 492030.Finally, LCM of Fractions for 639/667, 770/667, 198/187 is 492030.