Given numbers are 802,207,416,473,689

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

The LCM of 802,207,416,473,689 is 865655432928.

Find LCM of 802,207,416,473,689 with Prime Factorization

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

2 x 13 x 401 x 207 x 16 x 473 x 53 = 865655432928

Therefore, the lowest common multiple of 802,207,416,473,689 is 865655432928.

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.

802 x 207 x 416 x 473 x 689 = 22507041256128

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.

802 : 1, 2, 401, 802

207 : 1, 3, 9, 23, 69, 207

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

473 : 1, 11, 43, 473

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,207,416,473,689, is 1.

Now, the common factors can be found like this.

802:2x 401

207:3x 3x 23

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

473:11x 43

689:13x 53

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 22507041256128/(1x26)

LCM = 22507041256128/26

LCM = 865655432928

Thus, we can understand that the LCM of 802,207,416,473,689 is 865655432928.

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

• LCM of 988, 435, 654, 398, 465
• LCM of 952, 994, 818, 381, 817
• LCM of 195, 115, 620, 613, 621
• LCM of 157, 965, 857, 570, 579
• LCM of 780, 821, 132, 738, 610

1. What is the LCM of 802, 207, 416, 473, 689?

Answer: LCM of 802, 207, 416, 473, 689 is 865655432928.

2. How to calculate the LCM of 802, 207, 416, 473, 689?

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 802, 207, 416, 473, 689.

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}.