Least Common Multiple of 689/690, 6225/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 689/690, 6225/662 quickly i.e. 4289025/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 689/690, 6225/662 is 4289025/2.

LCM(689/690, 6225/662) = 4289025/2

LCM of 689/690, 6225/662

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 689/690,6225/662

Given numbers are 689/690,6225/662

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 689,6225

Least Common Multiple of Numerators i.e. LCM of 689,6225 is 4289025.

GCF of Denominators means GCF of 690,662 as per the given fractions.

GCF of 690,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 689,6225

LCM of Fractions 689/690,6225/662 is 4289025/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 4289025

Least Common Multiple of 689,6225 with GCF Formula

Least Common Multiple of 689,6225 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 689,6225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,6225) = 1

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

GCF(689,6225) x common factors =1 x 1 = 1

LCM(689,6225) = ( 689 × 6225 ) / 1

LCM(689,6225) = 4289025 / 1

LCM(689,6225) = 4289025


Lets's calculate GCF of 690,662

2 690, 662
345, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4289025/2

Therefore the LCM of Fractions 689/690,6225/662 is 4289025/2

Greatest Common Factor of 690,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,662 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 690,662 . The biggest common factor number is the GCF number.
So the greatest common factor 690,662 is 2.


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 689/690, 6225/662

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 689/690, 6225/662?

Answer: LCM of Numerators as per given numbers 689/690, 6225/662 is

LCM of Numerators i.e. for 689,6225 is 4289025

GCF of denominators i.e. for 690,662 is 2.

Thus, LCM of Fractions is 4289025/2.Finally, LCM of Fractions for 689/690, 6225/662 is 4289025/2.