Given numbers are 732,110,669,214,469

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

The LCM of 732,110,669,214,469 is 450541970340.

Find LCM of 732,110,669,214,469 with Prime Factorization

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

2 x 3 x 122 x 55 x 223 x 107 x 469 = 450541970340

Therefore, the lowest common multiple of 732,110,669,214,469 is 450541970340.

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.

732 x 110 x 669 x 214 x 469 = 5406503644080

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

110 : 1, 2, 5, 10, 11, 22, 55, 110

669 : 1, 3, 223, 669

214 : 1, 2, 107, 214

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,110,669,214,469, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

110:2x 5x 11

669:3x 223

214:2x 107

469:7x 67

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 3 = 12

Therefore, the value for common factors is 12.

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 = 5406503644080/(1x12)

LCM = 5406503644080/12

LCM = 450541970340

Thus, we can understand that the LCM of 732,110,669,214,469 is 450541970340.

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

• LCM of 714, 662, 711, 354, 213
• LCM of 360, 983, 638, 900, 758
• LCM of 410, 985, 501, 866, 809
• LCM of 616, 375, 403, 593, 606
• LCM of 922, 984, 361, 969, 759

1. What is the LCM of 732, 110, 669, 214, 469?

Answer: LCM of 732, 110, 669, 214, 469 is 450541970340.

2. How to calculate the LCM of 732, 110, 669, 214, 469?

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 732, 110, 669, 214, 469.

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}.