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LCM of 654, 171, 551, 817

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


Find the LCM of 654, 171, 551, 817 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 654, 171, 551, 817. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,171,551,817

Given numbers are 654,171,551,817

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

The LCM of 654,171,551,817 is 46485666.

Find LCM of 654,171,551,817 with Prime Factorization


3 654, 171, 551, 817
19 218, 57, 551, 817
218, 3, 29, 43

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

3 x 19 x 218 x 3 x 29 x 43 = 46485666

Therefore, the lowest common multiple of 654,171,551,817 is 46485666.

LCM Formula to Find Lowest Common Multiple of 654,171,551,817

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.

654 x 171 x 551 x 817 = 50343976278

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

171 : 1, 3, 9, 19, 57, 171

551 : 1, 19, 29, 551

817 : 1, 19, 43, 817

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,171,551,817, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

171:3x 3x 19

551:19x 29

817:19x 43

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

3x 19x 19 = 1083

Therefore, the value for common factors is 1083.

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 = 50343976278/(1x1083)

LCM = 50343976278/1083

LCM = 46485666

Thus, we can understand that the LCM of 654,171,551,817 is 46485666.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 171, 551, 817

1. What is the LCM of 654, 171, 551, 817?

Answer: LCM of 654, 171, 551, 817 is 46485666.

2. How to calculate the LCM of 654, 171, 551, 817?

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 654, 171, 551, 817.

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}.