Given numbers are 438,214,684,603,720

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

The LCM of 438,214,684,603,720 is 7159250160.

Find LCM of 438,214,684,603,720 with Prime Factorization

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

2 x 2 x 3 x 3 x 73 x 107 x 19 x 67 x 20 = 7159250160

Therefore, the lowest common multiple of 438,214,684,603,720 is 7159250160.

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.

438 x 214 x 684 x 603 x 720 = 27835164622080

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.

438 : 1, 2, 3, 6, 73, 146, 219, 438

214 : 1, 2, 107, 214

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

603 : 1, 3, 9, 67, 201, 603

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,214,684,603,720, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

214:2x 107

684:2x 2x 3x 3x 19

603:3x 3x 67

720:2x 2x 2x 2x 3x 3x 5

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 2x 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 27835164622080/(1x3888)

LCM = 27835164622080/3888

LCM = 7159250160

Thus, we can understand that the LCM of 438,214,684,603,720 is 7159250160.

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

• LCM of 612, 497, 592, 432, 593
• LCM of 593, 611, 511, 977, 455
• LCM of 375, 477, 379, 568, 975
• LCM of 497, 825, 466, 254, 361
• LCM of 912, 681, 542, 650, 521

1. What is the LCM of 438, 214, 684, 603, 720?

Answer: LCM of 438, 214, 684, 603, 720 is 7159250160.

2. How to calculate the LCM of 438, 214, 684, 603, 720?

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 438, 214, 684, 603, 720.

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}.