Given numbers are 450,678,354,434,944

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

The LCM of 450,678,354,434,944 is 5208260400.

Find LCM of 450,678,354,434,944 with Prime Factorization

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

2 x 3 x 59 x 75 x 113 x 1 x 217 x 8 = 5208260400

Therefore, the lowest common multiple of 450,678,354,434,944 is 5208260400.

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.

450 x 678 x 354 x 434 x 944 = 44249380358400

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.

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

434 : 1, 2, 7, 14, 31, 62, 217, 434

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,678,354,434,944, is 2.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

678:2x 3x 113

354:2x 3x 59

434:2x 7x 31

944:2x 2x 2x 2x 59

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 59 = 4248

Therefore, the value for common factors is 4248.

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 = 44249380358400/(2x4248)

LCM = 44249380358400/8496

LCM = 5208260400

Thus, we can understand that the LCM of 450,678,354,434,944 is 5208260400.

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

• LCM of 692, 760, 703, 682, 320
• LCM of 768, 896, 674, 134, 446
• LCM of 636, 490, 376, 336, 196
• LCM of 355, 500, 836, 472, 476
• LCM of 811, 551, 372, 836, 172

1. What is the LCM of 450, 678, 354, 434, 944?

Answer: LCM of 450, 678, 354, 434, 944 is 5208260400.

2. How to calculate the LCM of 450, 678, 354, 434, 944?

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 450, 678, 354, 434, 944.

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}.