Given numbers are 420,835,602,810,850

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

The LCM of 420,835,602,810,850 is 6921765900.

Find LCM of 420,835,602,810,850 with Prime Factorization

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

2 x 3 x 5 x 7 x 2 x 167 x 43 x 27 x 85 = 6921765900

Therefore, the lowest common multiple of 420,835,602,810,850 is 6921765900.

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.

420 x 835 x 602 x 810 x 850 = 145357083900000

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

835 : 1, 5, 167, 835

602 : 1, 2, 7, 14, 43, 86, 301, 602

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,835,602,810,850, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

835:5x 167

602:2x 7x 43

810:2x 3x 3x 3x 3x 5

850:2x 5x 5x 17

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 3x 5x 5x 5x 7 = 21000

Therefore, the value for common factors is 21000.

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 = 145357083900000/(1x21000)

LCM = 145357083900000/21000

LCM = 6921765900

Thus, we can understand that the LCM of 420,835,602,810,850 is 6921765900.

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

• LCM of 788, 968, 172, 995, 735
• LCM of 485, 249, 590, 520, 124
• LCM of 221, 553, 820, 502, 798
• LCM of 115, 232, 905, 126, 120
• LCM of 376, 765, 965, 997, 841

1. What is the LCM of 420, 835, 602, 810, 850?

Answer: LCM of 420, 835, 602, 810, 850 is 6921765900.

2. How to calculate the LCM of 420, 835, 602, 810, 850?

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 420, 835, 602, 810, 850.

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}.