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LCM of 676, 581, 716, 817, 780

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


Find the LCM of 676, 581, 716, 817, 780 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 676, 581, 716, 817, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,581,716,817,780

Given numbers are 676,581,716,817,780

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

The LCM of 676,581,716,817,780 is 861567235620.

Find LCM of 676,581,716,817,780 with Prime Factorization


2 676, 581, 716, 817, 780
2 338, 581, 358, 817, 390
13 169, 581, 179, 817, 195
13, 581, 179, 817, 15

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

2 x 2 x 13 x 13 x 581 x 179 x 817 x 15 = 861567235620

Therefore, the lowest common multiple of 676,581,716,817,780 is 861567235620.

LCM Formula to Find Lowest Common Multiple of 676,581,716,817,780

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.

676 x 581 x 716 x 817 x 780 = 179205985008960

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

581 : 1, 7, 83, 581

716 : 1, 2, 4, 179, 358, 716

817 : 1, 19, 43, 817

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,581,716,817,780, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

581:7x 83

716:2x 2x 179

817:19x 43

780:2x 2x 3x 5x 13

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

2x 2x 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 179205985008960/(1x208)

LCM = 179205985008960/208

LCM = 861567235620

Thus, we can understand that the LCM of 676,581,716,817,780 is 861567235620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 581, 716, 817, 780

1. What is the LCM of 676, 581, 716, 817, 780?

Answer: LCM of 676, 581, 716, 817, 780 is 861567235620.

2. How to calculate the LCM of 676, 581, 716, 817, 780?

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 676, 581, 716, 817, 780.

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}.