Given numbers are 102,689,438,393,240

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

The LCM of 102,689,438,393,240 is 26882740560.

Find LCM of 102,689,438,393,240 with Prime Factorization

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

2 x 3 x 17 x 689 x 73 x 131 x 40 = 26882740560

Therefore, the lowest common multiple of 102,689,438,393,240 is 26882740560.

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.

102 x 689 x 438 x 393 x 240 = 2903335980480

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

689 : 1, 13, 53, 689

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

393 : 1, 3, 131, 393

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,689,438,393,240, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

689:13x 53

438:2x 3x 73

393:3x 131

240:2x 2x 2x 2x 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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 2903335980480/(1x108)

LCM = 2903335980480/108

LCM = 26882740560

Thus, we can understand that the LCM of 102,689,438,393,240 is 26882740560.

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

• LCM of 284, 528, 466, 821, 401
• LCM of 390, 189, 786, 264, 842
• LCM of 607, 220, 568, 284, 527
• LCM of 289, 406, 996, 969, 417
• LCM of 678, 845, 308, 557, 867

1. What is the LCM of 102, 689, 438, 393, 240?

Answer: LCM of 102, 689, 438, 393, 240 is 26882740560.

2. How to calculate the LCM of 102, 689, 438, 393, 240?

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 102, 689, 438, 393, 240.

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}.