Given numbers are 456,528,306,643,678

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

The LCM of 456,528,306,643,678 is 37174669488.

Find LCM of 456,528,306,643,678 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 22 x 51 x 643 x 113 = 37174669488

Therefore, the lowest common multiple of 456,528,306,643,678 is 37174669488.

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 528 x 306 x 643 x 678 = 32118914437632

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

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

643 : 1, 643

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,528,306,643,678, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

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

306:2x 3x 3x 17

643:643

678:2x 3x 113

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 32118914437632/(1x864)

LCM = 32118914437632/864

LCM = 37174669488

Thus, we can understand that the LCM of 456,528,306,643,678 is 37174669488.

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

• LCM of 334, 974, 124, 357, 480
• LCM of 143, 999, 222, 123, 376
• LCM of 573, 744, 594, 422, 841
• LCM of 982, 754, 495, 972, 379
• LCM of 211, 272, 453, 102, 816

1. What is the LCM of 456, 528, 306, 643, 678?

Answer: LCM of 456, 528, 306, 643, 678 is 37174669488.

2. How to calculate the LCM of 456, 528, 306, 643, 678?

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, 528, 306, 643, 678.

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}.