Given numbers are 684,414,137,720,753

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

The LCM of 684,414,137,720,753 is 10819525680.

Find LCM of 684,414,137,720,753 with Prime Factorization

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

2 x 2 x 3 x 3 x 19 x 23 x 137 x 20 x 251 = 10819525680

Therefore, the lowest common multiple of 684,414,137,720,753 is 10819525680.

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 414 x 137 x 720 x 753 = 21033157921920

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

137 : 1, 137

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

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,414,137,720,753, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

414:2x 3x 3x 23

137:137

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

753:3x 251

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 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

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 = 21033157921920/(1x1944)

LCM = 21033157921920/1944

LCM = 10819525680

Thus, we can understand that the LCM of 684,414,137,720,753 is 10819525680.

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

• LCM of 830, 800, 280, 813, 456
• LCM of 466, 330, 717, 419, 765
• LCM of 941, 460, 853, 468, 621
• LCM of 309, 765, 351, 324, 288
• LCM of 948, 349, 110, 181, 885

1. What is the LCM of 684, 414, 137, 720, 753?

Answer: LCM of 684, 414, 137, 720, 753 is 10819525680.

2. How to calculate the LCM of 684, 414, 137, 720, 753?

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, 414, 137, 720, 753.

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}.