Least Common Multiple of 85/282, 62/697, 838/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/282, 62/697, 838/423 quickly i.e. 2208130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/282, 62/697, 838/423 is 2208130.

LCM(85/282, 62/697, 838/423) = 2208130

LCM of 85/282, 62/697, 838/423

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 85/282,62/697,838/423

Given numbers are 85/282,62/697,838/423

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 85,62,838

Least Common Multiple of Numerators i.e. LCM of 85,62,838 is 2208130.

GCF of Denominators means GCF of 282,697,423 as per the given fractions.

GCF of 282,697,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,62,838

LCM of Fractions 85/282,62/697,838/423 is 2208130

2 85, 62, 838
85, 31, 419

∴ So the LCM of the given numbers is 2 x 85 x 31 x 419 = 2208130

Least Common Multiple of 85,62,838 with GCF Formula

Least Common Multiple of 85,62,838 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 85,62,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,62,838) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(85,62,838) x common factors =1 x 2 = 2

LCM(85,62,838) = ( 85 × 62 × 838 ) / 2

LCM(85,62,838) = 4416260 / 2

LCM(85,62,838) = 2208130


Lets's calculate GCF of 282,697,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2208130/1

Therefore the LCM of Fractions 85/282,62/697,838/423 is 2208130

Greatest Common Factor of 282,697,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,697,423 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 282,697,423 . The biggest common factor number is the GCF number.
So the greatest common factor 282,697,423 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 85/282, 62/697, 838/423

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 85/282, 62/697, 838/423?

Answer: LCM of Numerators as per given numbers 85/282, 62/697, 838/423 is

LCM of Numerators i.e. for 85,62,838 is 2208130

GCF of denominators i.e. for 282,697,423 is 1.

Thus, LCM of Fractions is 2208130.Finally, LCM of Fractions for 85/282, 62/697, 838/423 is 2208130.