Given numbers are 684,528,920,706

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

The LCM of 684,528,920,706 is 1221747120.

Find LCM of 684,528,920,706 with Prime Factorization

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

2 x 2 x 2 x 3 x 57 x 22 x 115 x 353 = 1221747120

Therefore, the lowest common multiple of 684,528,920,706 is 1221747120.

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 528 x 920 x 706 = 234575447040

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

706 : 1, 2, 353, 706

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,528,920,706, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

528:2x 2x 2x 2x 3x 11

920:2x 2x 2x 5x 23

706:2x 353

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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 234575447040/(2x96)

LCM = 234575447040/192

LCM = 1221747120

Thus, we can understand that the LCM of 684,528,920,706 is 1221747120.

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

• LCM of 132, 486, 888, 596
• LCM of 460, 839, 780, 547
• LCM of 253, 211, 101, 315
• LCM of 814, 188, 563, 379
• LCM of 325, 830, 476, 678

1. What is the LCM of 684, 528, 920, 706?

Answer: LCM of 684, 528, 920, 706 is 1221747120.

2. How to calculate the LCM of 684, 528, 920, 706?

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, 528, 920, 706.

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}.