Given numbers are 870,193,598,412,721

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

The LCM of 870,193,598,412,721 is 72395739780.

Find LCM of 870,193,598,412,721 with Prime Factorization

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

2 x 103 x 435 x 193 x 299 x 2 x 7 = 72395739780

Therefore, the lowest common multiple of 870,193,598,412,721 is 72395739780.

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.

870 x 193 x 598 x 412 x 721 = 29827044789360

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

193 : 1, 193

598 : 1, 2, 13, 23, 26, 46, 299, 598

412 : 1, 2, 4, 103, 206, 412

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,193,598,412,721, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

193:193

598:2x 13x 23

412:2x 2x 103

721:7x 103

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 103 = 412

Therefore, the value for common factors is 412.

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 = 29827044789360/(1x412)

LCM = 29827044789360/412

LCM = 72395739780

Thus, we can understand that the LCM of 870,193,598,412,721 is 72395739780.

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

• LCM of 584, 364, 700, 567, 321
• LCM of 363, 805, 778, 971, 425
• LCM of 783, 858, 408, 889, 718
• LCM of 545, 910, 571, 876, 698
• LCM of 829, 851, 358, 508, 935

1. What is the LCM of 870, 193, 598, 412, 721?

Answer: LCM of 870, 193, 598, 412, 721 is 72395739780.

2. How to calculate the LCM of 870, 193, 598, 412, 721?

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 870, 193, 598, 412, 721.

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}.