Given numbers are 416,582,467,689,702

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

The LCM of 416,582,467,689,702 is 26966313504.

Find LCM of 416,582,467,689,702 with Prime Factorization

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

2 x 3 x 13 x 16 x 97 x 467 x 53 x 9 = 26966313504

Therefore, the lowest common multiple of 416,582,467,689,702 is 26966313504.

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.

416 x 582 x 467 x 689 x 702 = 54687683786112

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

582 : 1, 2, 3, 6, 97, 194, 291, 582

467 : 1, 467

689 : 1, 13, 53, 689

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,582,467,689,702, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

582:2x 3x 97

467:467

689:13x 53

702:2x 3x 3x 3x 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 3x 13x 13 = 2028

Therefore, the value for common factors is 2028.

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 = 54687683786112/(1x2028)

LCM = 54687683786112/2028

LCM = 26966313504

Thus, we can understand that the LCM of 416,582,467,689,702 is 26966313504.

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

• LCM of 204, 360, 477, 824, 298
• LCM of 535, 242, 931, 931, 137
• LCM of 392, 563, 979, 593, 813
• LCM of 622, 388, 706, 910, 467
• LCM of 989, 731, 363, 514, 491

1. What is the LCM of 416, 582, 467, 689, 702?

Answer: LCM of 416, 582, 467, 689, 702 is 26966313504.

2. How to calculate the LCM of 416, 582, 467, 689, 702?

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 416, 582, 467, 689, 702.

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}.