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LCM of 563, 530, 694, 202

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


Find the LCM of 563, 530, 694, 202 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 563, 530, 694, 202. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 563,530,694,202

Given numbers are 563,530,694,202

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

The LCM of 563,530,694,202 is 10457674330.

Find LCM of 563,530,694,202 with Prime Factorization


2 563, 530, 694, 202
563, 265, 347, 101

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

2 x 563 x 265 x 347 x 101 = 10457674330

Therefore, the lowest common multiple of 563,530,694,202 is 10457674330.

LCM Formula to Find Lowest Common Multiple of 563,530,694,202

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.

563 x 530 x 694 x 202 = 41830697320

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.

563 : 1, 563

530 : 1, 2, 5, 10, 53, 106, 265, 530

694 : 1, 2, 347, 694

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,530,694,202, is 1.

Now, the common factors can be found like this.

563:563

530:2x 5x 53

694:2x 347

202:2x 101

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 41830697320/(1x4)

LCM = 41830697320/4

LCM = 10457674330

Thus, we can understand that the LCM of 563,530,694,202 is 10457674330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 563, 530, 694, 202

1. What is the LCM of 563, 530, 694, 202?

Answer: LCM of 563, 530, 694, 202 is 10457674330.

2. How to calculate the LCM of 563, 530, 694, 202?

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 563, 530, 694, 202.

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}.