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LCM of 689, 420, 424, 233

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 689, 420, 424, 233 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 689, 420, 424, 233. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,420,424,233

Given numbers are 689,420,424,233

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 689,420,424,233 is 134851080.

Find LCM of 689,420,424,233 with Prime Factorization


2 689, 420, 424, 233
2 689, 210, 212, 233
53 689, 105, 106, 233
13, 105, 2, 233

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 53 x 13 x 105 x 2 x 233 = 134851080

Therefore, the lowest common multiple of 689,420,424,233 is 134851080.

LCM Formula to Find Lowest Common Multiple of 689,420,424,233

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

689 x 420 x 424 x 233 = 28588428960

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

689 : 1, 13, 53, 689

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

424 : 1, 2, 4, 8, 53, 106, 212, 424

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,420,424,233, is 1.

Now, the common factors can be found like this.

689:13x 53

420:2x 2x 3x 5x 7

424:2x 2x 2x 53

233:233

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 53 = 212

Therefore, the value for common factors is 212.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 28588428960/(1x212)

LCM = 28588428960/212

LCM = 134851080

Thus, we can understand that the LCM of 689,420,424,233 is 134851080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 420, 424, 233

1. What is the LCM of 689, 420, 424, 233?

Answer: LCM of 689, 420, 424, 233 is 134851080.

2. How to calculate the LCM of 689, 420, 424, 233?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 689, 420, 424, 233.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.