Given numbers are 684,722,544,846,920

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

The LCM of 684,722,544,846,920 is 9553099680.

Find LCM of 684,722,544,846,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 19 x 1 x 19 x 68 x 47 x 115 = 9553099680

Therefore, the lowest common multiple of 684,722,544,846,920 is 9553099680.

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 722 x 544 x 846 x 920 = 209098245795840

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

722 : 1, 2, 19, 38, 361, 722

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,722,544,846,920, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

722:2x 19x 19

544:2x 2x 2x 2x 2x 17

846:2x 3x 3x 47

920:2x 2x 2x 5x 23

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 2x 3x 3x 19 = 10944

Therefore, the value for common factors is 10944.

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 = 209098245795840/(2x10944)

LCM = 209098245795840/21888

LCM = 9553099680

Thus, we can understand that the LCM of 684,722,544,846,920 is 9553099680.

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

• LCM of 319, 871, 164, 111, 125
• LCM of 926, 113, 444, 287, 595
• LCM of 793, 361, 454, 313, 250
• LCM of 342, 461, 830, 315, 220
• LCM of 706, 575, 956, 513, 285

1. What is the LCM of 684, 722, 544, 846, 920?

Answer: LCM of 684, 722, 544, 846, 920 is 9553099680.

2. How to calculate the LCM of 684, 722, 544, 846, 920?

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, 722, 544, 846, 920.

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}.