Given numbers are 420,470,310,446,770

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

The LCM of 420,470,310,446,770 is 1501088820.

Find LCM of 420,470,310,446,770 with Prime Factorization

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

2 x 5 x 7 x 6 x 47 x 31 x 223 x 11 = 1501088820

Therefore, the lowest common multiple of 420,470,310,446,770 is 1501088820.

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 470 x 310 x 446 x 770 = 21015243480000

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

470 : 1, 2, 5, 10, 47, 94, 235, 470

310 : 1, 2, 5, 10, 31, 62, 155, 310

446 : 1, 2, 223, 446

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,470,310,446,770, is 2.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

470:2x 5x 47

310:2x 5x 31

446:2x 223

770:2x 5x 7x 11

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 5x 5x 5x 7 = 7000

Therefore, the value for common factors is 7000.

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 = 21015243480000/(2x7000)

LCM = 21015243480000/14000

LCM = 1501088820

Thus, we can understand that the LCM of 420,470,310,446,770 is 1501088820.

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

• LCM of 241, 327, 716, 574, 715
• LCM of 773, 253, 892, 208, 225
• LCM of 782, 401, 974, 375, 294
• LCM of 963, 907, 441, 213, 309
• LCM of 259, 759, 173, 782, 955

1. What is the LCM of 420, 470, 310, 446, 770?

Answer: LCM of 420, 470, 310, 446, 770 is 1501088820.

2. How to calculate the LCM of 420, 470, 310, 446, 770?

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, 470, 310, 446, 770.

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}.