Given numbers are 421,760,710,470,735

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

The LCM of 421,760,710,470,735 is 156952858440.

Find LCM of 421,760,710,470,735 with Prime Factorization

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

2 x 5 x 421 x 76 x 71 x 47 x 147 = 156952858440

Therefore, the lowest common multiple of 421,760,710,470,735 is 156952858440.

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.

421 x 760 x 710 x 470 x 735 = 78476429220000

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.

421 : 1, 421

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

710 : 1, 2, 5, 10, 71, 142, 355, 710

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

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,760,710,470,735, is 1.

Now, the common factors can be found like this.

421:421

760:2x 2x 2x 5x 19

710:2x 5x 71

470:2x 5x 47

735:3x 5x 7x 7

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 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 78476429220000/(1x500)

LCM = 78476429220000/500

LCM = 156952858440

Thus, we can understand that the LCM of 421,760,710,470,735 is 156952858440.

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

• LCM of 448, 404, 793, 100, 803
• LCM of 511, 762, 844, 738, 925
• LCM of 273, 345, 288, 820, 979
• LCM of 918, 414, 856, 917, 891
• LCM of 172, 447, 572, 513, 320

1. What is the LCM of 421, 760, 710, 470, 735?

Answer: LCM of 421, 760, 710, 470, 735 is 156952858440.

2. How to calculate the LCM of 421, 760, 710, 470, 735?

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 421, 760, 710, 470, 735.

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}.