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LCM of 689, 742, 455, 563

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


Find the LCM of 689, 742, 455, 563 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, 742, 455, 563. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,742,455,563

Given numbers are 689,742,455,563

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

The LCM of 689,742,455,563 is 27153490.

Find LCM of 689,742,455,563 with Prime Factorization


7 689, 742, 455, 563
13 689, 106, 65, 563
53 53, 106, 5, 563
1, 2, 5, 563

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

7 x 13 x 53 x 1 x 2 x 5 x 563 = 27153490

Therefore, the lowest common multiple of 689,742,455,563 is 27153490.

LCM Formula to Find Lowest Common Multiple of 689,742,455,563

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 742 x 455 x 563 = 130961282270

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

455 : 1, 5, 7, 13, 35, 65, 91, 455

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,742,455,563, is 1.

Now, the common factors can be found like this.

689:13x 53

742:2x 7x 53

455:5x 7x 13

563:563

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

7x 13x 53 = 4823

Therefore, the value for common factors is 4823.

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 = 130961282270/(1x4823)

LCM = 130961282270/4823

LCM = 27153490

Thus, we can understand that the LCM of 689,742,455,563 is 27153490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 742, 455, 563

1. What is the LCM of 689, 742, 455, 563?

Answer: LCM of 689, 742, 455, 563 is 27153490.

2. How to calculate the LCM of 689, 742, 455, 563?

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, 742, 455, 563.

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}.