Given numbers are 972,470,213,654,714

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

The LCM of 972,470,213,654,714 is 210361343220.

Find LCM of 972,470,213,654,714 with Prime Factorization

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

2 x 3 x 162 x 235 x 71 x 109 x 119 = 210361343220

Therefore, the lowest common multiple of 972,470,213,654,714 is 210361343220.

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.

972 x 470 x 213 x 654 x 714 = 45438050135520

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

213 : 1, 3, 71, 213

654 : 1, 2, 3, 6, 109, 218, 327, 654

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,470,213,654,714, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

470:2x 5x 47

213:3x 71

654:2x 3x 109

714:2x 3x 7x 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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 45438050135520/(1x216)

LCM = 45438050135520/216

LCM = 210361343220

Thus, we can understand that the LCM of 972,470,213,654,714 is 210361343220.

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

• LCM of 334, 663, 333, 823, 474
• LCM of 422, 809, 552, 227, 763
• LCM of 110, 307, 472, 566, 188
• LCM of 249, 754, 526, 958, 461
• LCM of 725, 854, 741, 628, 890

1. What is the LCM of 972, 470, 213, 654, 714?

Answer: LCM of 972, 470, 213, 654, 714 is 210361343220.

2. How to calculate the LCM of 972, 470, 213, 654, 714?

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 972, 470, 213, 654, 714.

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}.