Given numbers are 684,717,920,402,471

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

The LCM of 684,717,920,402,471 is 395508930120.

Find LCM of 684,717,920,402,471 with Prime Factorization

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

2 x 2 x 3 x 57 x 239 x 230 x 67 x 157 = 395508930120

Therefore, the lowest common multiple of 684,717,920,402,471 is 395508930120.

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.

684 x 717 x 920 x 402 x 471 = 85429928905920

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.

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

717 : 1, 3, 239, 717

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

402 : 1, 2, 3, 6, 67, 134, 201, 402

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,717,920,402,471, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

717:3x 239

920:2x 2x 2x 5x 23

402:2x 3x 67

471:3x 157

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 = 85429928905920/(1x216)

LCM = 85429928905920/216

LCM = 395508930120

Thus, we can understand that the LCM of 684,717,920,402,471 is 395508930120.

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

• LCM of 438, 739, 920, 906, 284
• LCM of 786, 176, 857, 837, 756
• LCM of 880, 115, 257, 984, 572
• LCM of 343, 300, 632, 948, 429
• LCM of 121, 807, 981, 484, 571

1. What is the LCM of 684, 717, 920, 402, 471?

Answer: LCM of 684, 717, 920, 402, 471 is 395508930120.

2. How to calculate the LCM of 684, 717, 920, 402, 471?

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 684, 717, 920, 402, 471.

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}.