Least Common Multiple of 287/862, 3443/9628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 287/862, 3443/9628 quickly i.e. 988141/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 287/862, 3443/9628 is 988141/2.

LCM(287/862, 3443/9628) = 988141/2

LCM of 287/862, 3443/9628

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 287/862,3443/9628

Given numbers are 287/862,3443/9628

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 287,3443

Least Common Multiple of Numerators i.e. LCM of 287,3443 is 988141.

GCF of Denominators means GCF of 862,9628 as per the given fractions.

GCF of 862,9628 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 287,3443

LCM of Fractions 287/862,3443/9628 is 988141/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 988141

Least Common Multiple of 287,3443 with GCF Formula

Least Common Multiple of 287,3443 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 287,3443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,3443) = 1

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

GCF(287,3443) x common factors =1 x 1 = 1

LCM(287,3443) = ( 287 × 3443 ) / 1

LCM(287,3443) = 988141 / 1

LCM(287,3443) = 988141


Lets's calculate GCF of 862,9628

2 862, 9628
431, 4814

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 988141/2

Therefore the LCM of Fractions 287/862,3443/9628 is 988141/2

Greatest Common Factor of 862,9628 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,9628 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 9628

List of positive integer factors of 9628 that divides 9628 without a remainder.

1,2,4,29,58,83,116,166,332,2407,4814,9628

Greatest Common Factor

We found the factors 862,9628 . The biggest common factor number is the GCF number.
So the greatest common factor 862,9628 is 2.


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 287/862, 3443/9628

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 287/862, 3443/9628?

Answer: LCM of Numerators as per given numbers 287/862, 3443/9628 is

LCM of Numerators i.e. for 287,3443 is 988141

GCF of denominators i.e. for 862,9628 is 2.

Thus, LCM of Fractions is 988141/2.Finally, LCM of Fractions for 287/862, 3443/9628 is 988141/2.