Given numbers are 456,684,402,984,561

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

The LCM of 456,684,402,984,561 is 702726552.

Find LCM of 456,684,402,984,561 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 1 x 3 x 67 x 41 x 187 = 702726552

Therefore, the lowest common multiple of 456,684,402,984,561 is 702726552.

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.

456 x 684 x 402 x 984 x 561 = 69215754465792

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

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

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

561 : 1, 3, 11, 17, 33, 51, 187, 561

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,684,402,984,561, is 3.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

684:2x 2x 3x 3x 19

402:2x 3x 67

984:2x 2x 2x 3x 41

561:3x 11x 17

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 3x 19 = 32832

Therefore, the value for common factors is 32832.

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 = 69215754465792/(3x32832)

LCM = 69215754465792/98496

LCM = 702726552

Thus, we can understand that the LCM of 456,684,402,984,561 is 702726552.

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

• LCM of 369, 558, 101, 142, 995
• LCM of 331, 650, 935, 803, 348
• LCM of 955, 863, 229, 808, 105
• LCM of 930, 629, 323, 187, 298
• LCM of 295, 619, 524, 768, 791

1. What is the LCM of 456, 684, 402, 984, 561?

Answer: LCM of 456, 684, 402, 984, 561 is 702726552.

2. How to calculate the LCM of 456, 684, 402, 984, 561?

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 456, 684, 402, 984, 561.

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}.