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LCM of 880, 583, 817, 647

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


Find the LCM of 880, 583, 817, 647 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 880, 583, 817, 647. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,583,817,647

Given numbers are 880,583,817,647

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

The LCM of 880,583,817,647 is 24653857360.

Find LCM of 880,583,817,647 with Prime Factorization


11 880, 583, 817, 647
80, 53, 817, 647

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

11 x 80 x 53 x 817 x 647 = 24653857360

Therefore, the lowest common multiple of 880,583,817,647 is 24653857360.

LCM Formula to Find Lowest Common Multiple of 880,583,817,647

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.

880 x 583 x 817 x 647 = 271192430960

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.

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

583 : 1, 11, 53, 583

817 : 1, 19, 43, 817

647 : 1, 647

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,583,817,647, is 1.

Now, the common factors can be found like this.

880:2x 2x 2x 2x 5x 11

583:11x 53

817:19x 43

647:647

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

11 = 11

Therefore, the value for common factors is 11.

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 = 271192430960/(1x11)

LCM = 271192430960/11

LCM = 24653857360

Thus, we can understand that the LCM of 880,583,817,647 is 24653857360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 583, 817, 647

1. What is the LCM of 880, 583, 817, 647?

Answer: LCM of 880, 583, 817, 647 is 24653857360.

2. How to calculate the LCM of 880, 583, 817, 647?

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 880, 583, 817, 647.

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}.