Least Common Multiple of 86/177, 25/396, 645/609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/177, 25/396, 645/609 quickly i.e. 2150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/177, 25/396, 645/609 is 2150.

LCM(86/177, 25/396, 645/609) = 2150

LCM of 86/177, 25/396, 645/609

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 86/177,25/396,645/609

Given numbers are 86/177,25/396,645/609

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 86,25,645

Least Common Multiple of Numerators i.e. LCM of 86,25,645 is 6450.

GCF of Denominators means GCF of 177,396,609 as per the given fractions.

GCF of 177,396,609 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,25,645

LCM of Fractions 86/177,25/396,645/609 is 2150

5 86, 25, 645
43 86, 5, 129
2, 5, 3

∴ So the LCM of the given numbers is 5 x 43 x 2 x 5 x 3 = 6450

Least Common Multiple of 86,25,645 with GCF Formula

Least Common Multiple of 86,25,645 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 86,25,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,25,645) = 1

common factors(in case of two or more numbers have common factors) = 215

GCF(86,25,645) x common factors =1 x 215 = 215

LCM(86,25,645) = ( 86 × 25 × 645 ) / 215

LCM(86,25,645) = 1386750 / 215

LCM(86,25,645) = 6450


Lets's calculate GCF of 177,396,609

3 177, 396, 609
59, 132, 203

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6450/3

Therefore the LCM of Fractions 86/177,25/396,645/609 is 2150

Greatest Common Factor of 177,396,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,396,609 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 177,396,609 . The biggest common factor number is the GCF number.
So the greatest common factor 177,396,609 is 3.


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 86/177, 25/396, 645/609

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 86/177, 25/396, 645/609?

Answer: LCM of Numerators as per given numbers 86/177, 25/396, 645/609 is

LCM of Numerators i.e. for 86,25,645 is 6450

GCF of denominators i.e. for 177,396,609 is 3.

Thus, LCM of Fractions is 2150.Finally, LCM of Fractions for 86/177, 25/396, 645/609 is 2150.