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LCM of 552, 859, 801, 283, 657

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


Find the LCM of 552, 859, 801, 283, 657 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 552, 859, 801, 283, 657. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 552,859,801,283,657

Given numbers are 552,859,801,283,657

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

The LCM of 552,859,801,283,657 is 2615488402104.

Find LCM of 552,859,801,283,657 with Prime Factorization


3 552, 859, 801, 283, 657
3 184, 859, 267, 283, 219
184, 859, 89, 283, 73

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

3 x 3 x 184 x 859 x 89 x 283 x 73 = 2615488402104

Therefore, the lowest common multiple of 552,859,801,283,657 is 2615488402104.

LCM Formula to Find Lowest Common Multiple of 552,859,801,283,657

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.

552 x 859 x 801 x 283 x 657 = 70618186856808

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

859 : 1, 859

801 : 1, 3, 9, 89, 267, 801

283 : 1, 283

657 : 1, 3, 9, 73, 219, 657

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,859,801,283,657, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

859:859

801:3x 3x 89

283:283

657:3x 3x 73

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 = 70618186856808/(1x27)

LCM = 70618186856808/27

LCM = 2615488402104

Thus, we can understand that the LCM of 552,859,801,283,657 is 2615488402104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 552, 859, 801, 283, 657

1. What is the LCM of 552, 859, 801, 283, 657?

Answer: LCM of 552, 859, 801, 283, 657 is 2615488402104.

2. How to calculate the LCM of 552, 859, 801, 283, 657?

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 552, 859, 801, 283, 657.

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}.