Given numbers are 962,415,760,581,822

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

The LCM of 962,415,760,581,822 is 87292437960.

Find LCM of 962,415,760,581,822 with Prime Factorization

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

2 x 5 x 83 x 481 x 1 x 76 x 7 x 411 = 87292437960

Therefore, the lowest common multiple of 962,415,760,581,822 is 87292437960.

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.

962 x 415 x 760 x 581 x 822 = 144905447013600

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.

962 : 1, 2, 13, 26, 37, 74, 481, 962

415 : 1, 5, 83, 415

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

581 : 1, 7, 83, 581

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,415,760,581,822, is 1.

Now, the common factors can be found like this.

962:2x 13x 37

415:5x 83

760:2x 2x 2x 5x 19

581:7x 83

822:2x 3x 137

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 5x 83 = 1660

Therefore, the value for common factors is 1660.

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 = 144905447013600/(1x1660)

LCM = 144905447013600/1660

LCM = 87292437960

Thus, we can understand that the LCM of 962,415,760,581,822 is 87292437960.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 871, 357, 837, 528, 636
• LCM of 284, 661, 550, 675, 850
• LCM of 917, 303, 377, 781, 894
• LCM of 851, 954, 676, 258, 716
• LCM of 152, 354, 770, 400, 994

1. What is the LCM of 962, 415, 760, 581, 822?

Answer: LCM of 962, 415, 760, 581, 822 is 87292437960.

2. How to calculate the LCM of 962, 415, 760, 581, 822?

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 962, 415, 760, 581, 822.

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}.