Least Common Multiple of 83/855, 283/566, 142/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/855, 283/566, 142/415 quickly i.e. 3335438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/855, 283/566, 142/415 is 3335438.

LCM(83/855, 283/566, 142/415) = 3335438

LCM of 83/855, 283/566, 142/415

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 83/855,283/566,142/415

Given numbers are 83/855,283/566,142/415

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 83,283,142

Least Common Multiple of Numerators i.e. LCM of 83,283,142 is 3335438.

GCF of Denominators means GCF of 855,566,415 as per the given fractions.

GCF of 855,566,415 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,283,142

LCM of Fractions 83/855,283/566,142/415 is 3335438

Given numbers has no common factors except 1. So, there LCM is their product i.e 3335438

Least Common Multiple of 83,283,142 with GCF Formula

Least Common Multiple of 83,283,142 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 83,283,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,283,142) = 1

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

GCF(83,283,142) x common factors =1 x 1 = 1

LCM(83,283,142) = ( 83 × 283 × 142 ) / 1

LCM(83,283,142) = 3335438 / 1

LCM(83,283,142) = 3335438


Lets's calculate GCF of 855,566,415

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3335438/1

Therefore the LCM of Fractions 83/855,283/566,142/415 is 3335438

Greatest Common Factor of 855,566,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,566,415 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 855,566,415 . The biggest common factor number is the GCF number.
So the greatest common factor 855,566,415 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/855, 283/566, 142/415

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 83/855, 283/566, 142/415?

Answer: LCM of Numerators as per given numbers 83/855, 283/566, 142/415 is

LCM of Numerators i.e. for 83,283,142 is 3335438

GCF of denominators i.e. for 855,566,415 is 1.

Thus, LCM of Fractions is 3335438.Finally, LCM of Fractions for 83/855, 283/566, 142/415 is 3335438.