Least Common Multiple of 8283/842, 8534/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8283/842, 8534/607 quickly i.e. 281622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8283/842, 8534/607 is 281622.

LCM(8283/842, 8534/607) = 281622

LCM of 8283/842, 8534/607

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 8283/842,8534/607

Given numbers are 8283/842,8534/607

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 8283,8534

Least Common Multiple of Numerators i.e. LCM of 8283,8534 is 281622.

GCF of Denominators means GCF of 842,607 as per the given fractions.

GCF of 842,607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8283,8534

LCM of Fractions 8283/842,8534/607 is 281622

251 8283, 8534
33, 34

∴ So the LCM of the given numbers is 251 x 33 x 34 = 281622

Least Common Multiple of 8283,8534 with GCF Formula

Least Common Multiple of 8283,8534 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 8283,8534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8283,8534) = 251

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

GCF(8283,8534) x common factors =251 x 1 = 251

LCM(8283,8534) = ( 8283 × 8534 ) / 251

LCM(8283,8534) = 70687122 / 251

LCM(8283,8534) = 281622


Lets's calculate GCF of 842,607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281622/1

Therefore the LCM of Fractions 8283/842,8534/607 is 281622

Greatest Common Factor of 842,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,607 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 842,607 . The biggest common factor number is the GCF number.
So the greatest common factor 842,607 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8283/842, 8534/607

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 8283/842, 8534/607?

Answer: LCM of Numerators as per given numbers 8283/842, 8534/607 is

LCM of Numerators i.e. for 8283,8534 is 281622

GCF of denominators i.e. for 842,607 is 1.

Thus, LCM of Fractions is 281622.Finally, LCM of Fractions for 8283/842, 8534/607 is 281622.