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LCM of 563, 198, 603, 762

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


Find the LCM of 563, 198, 603, 762 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, 198, 603, 762. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 563,198,603,762

Given numbers are 563,198,603,762

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

The LCM of 563,198,603,762 is 948532266.

Find LCM of 563,198,603,762 with Prime Factorization


2 563, 198, 603, 762
3 563, 99, 603, 381
3 563, 33, 201, 127
563, 11, 67, 127

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

2 x 3 x 3 x 563 x 11 x 67 x 127 = 948532266

Therefore, the lowest common multiple of 563,198,603,762 is 948532266.

LCM Formula to Find Lowest Common Multiple of 563,198,603,762

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 198 x 603 x 762 = 51220742364

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

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

603 : 1, 3, 9, 67, 201, 603

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,198,603,762, is 1.

Now, the common factors can be found like this.

563:563

198:2x 3x 3x 11

603:3x 3x 67

762:2x 3x 127

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 51220742364/(1x54)

LCM = 51220742364/54

LCM = 948532266

Thus, we can understand that the LCM of 563,198,603,762 is 948532266.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 563, 198, 603, 762

1. What is the LCM of 563, 198, 603, 762?

Answer: LCM of 563, 198, 603, 762 is 948532266.

2. How to calculate the LCM of 563, 198, 603, 762?

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, 198, 603, 762.

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}.