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LCM of 551, 603, 117, 660

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


Find the LCM of 551, 603, 117, 660 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 551, 603, 117, 660. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 551,603,117,660

Given numbers are 551,603,117,660

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

The LCM of 551,603,117,660 is 950243580.

Find LCM of 551,603,117,660 with Prime Factorization


3 551, 603, 117, 660
3 551, 201, 39, 220
551, 67, 13, 220

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

3 x 3 x 551 x 67 x 13 x 220 = 950243580

Therefore, the lowest common multiple of 551,603,117,660 is 950243580.

LCM Formula to Find Lowest Common Multiple of 551,603,117,660

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.

551 x 603 x 117 x 660 = 25656576660

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.

551 : 1, 19, 29, 551

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

117 : 1, 3, 9, 13, 39, 117

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,603,117,660, is 1.

Now, the common factors can be found like this.

551:19x 29

603:3x 3x 67

117:3x 3x 13

660:2x 2x 3x 5x 11

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 25656576660/(1x27)

LCM = 25656576660/27

LCM = 950243580

Thus, we can understand that the LCM of 551,603,117,660 is 950243580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 551, 603, 117, 660

1. What is the LCM of 551, 603, 117, 660?

Answer: LCM of 551, 603, 117, 660 is 950243580.

2. How to calculate the LCM of 551, 603, 117, 660?

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 551, 603, 117, 660.

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}.