Least Common Multiple of 89/280, 3422/6706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/280, 3422/6706 quickly i.e. 304558/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/280, 3422/6706 is 304558/14.

LCM(89/280, 3422/6706) = 304558/14

LCM of 89/280, 3422/6706

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 89/280,3422/6706

Given numbers are 89/280,3422/6706

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 89,3422

Least Common Multiple of Numerators i.e. LCM of 89,3422 is 304558.

GCF of Denominators means GCF of 280,6706 as per the given fractions.

GCF of 280,6706 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,3422

LCM of Fractions 89/280,3422/6706 is 304558/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 304558

Least Common Multiple of 89,3422 with GCF Formula

Least Common Multiple of 89,3422 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 89,3422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,3422) = 1

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

GCF(89,3422) x common factors =1 x 1 = 1

LCM(89,3422) = ( 89 × 3422 ) / 1

LCM(89,3422) = 304558 / 1

LCM(89,3422) = 304558


Lets's calculate GCF of 280,6706

2 280, 6706
7 140, 3353
20, 479

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304558/14

Therefore the LCM of Fractions 89/280,3422/6706 is 304558/14

Greatest Common Factor of 280,6706 By Matching Biggest Common Factor Method

Greatest Common Factor of 280,6706 By Matching Biggest Common Factor Method

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 6706

List of positive integer factors of 6706 that divides 6706 without a remainder.

1,2,7,14,479,958,3353,6706

Greatest Common Factor

We found the factors 280,6706 . The biggest common factor number is the GCF number.
So the greatest common factor 280,6706 is 14.


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 89/280, 3422/6706

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 89/280, 3422/6706?

Answer: LCM of Numerators as per given numbers 89/280, 3422/6706 is

LCM of Numerators i.e. for 89,3422 is 304558

GCF of denominators i.e. for 280,6706 is 14.

Thus, LCM of Fractions is 304558/14.Finally, LCM of Fractions for 89/280, 3422/6706 is 304558/14.