Least Common Multiple of 84/385, 643/128, 177/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/385, 643/128, 177/510 quickly i.e. 3186708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/385, 643/128, 177/510 is 3186708.

LCM(84/385, 643/128, 177/510) = 3186708

LCM of 84/385, 643/128, 177/510

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 84/385,643/128,177/510

Given numbers are 84/385,643/128,177/510

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 84,643,177

Least Common Multiple of Numerators i.e. LCM of 84,643,177 is 3186708.

GCF of Denominators means GCF of 385,128,510 as per the given fractions.

GCF of 385,128,510 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,643,177

LCM of Fractions 84/385,643/128,177/510 is 3186708

3 84, 643, 177
28, 643, 59

∴ So the LCM of the given numbers is 3 x 28 x 643 x 59 = 3186708

Least Common Multiple of 84,643,177 with GCF Formula

Least Common Multiple of 84,643,177 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 84,643,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,643,177) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(84,643,177) x common factors =1 x 3 = 3

LCM(84,643,177) = ( 84 × 643 × 177 ) / 3

LCM(84,643,177) = 9560124 / 3

LCM(84,643,177) = 3186708


Lets's calculate GCF of 385,128,510

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3186708/1

Therefore the LCM of Fractions 84/385,643/128,177/510 is 3186708

Greatest Common Factor of 385,128,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,128,510 By Matching Biggest Common Factor Method

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 385,128,510 . The biggest common factor number is the GCF number.
So the greatest common factor 385,128,510 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 84/385, 643/128, 177/510

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 84/385, 643/128, 177/510?

Answer: LCM of Numerators as per given numbers 84/385, 643/128, 177/510 is

LCM of Numerators i.e. for 84,643,177 is 3186708

GCF of denominators i.e. for 385,128,510 is 1.

Thus, LCM of Fractions is 3186708.Finally, LCM of Fractions for 84/385, 643/128, 177/510 is 3186708.