Given numbers are 434,678,289,496

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

The LCM of 434,678,289,496 is 340155312.

Find LCM of 434,678,289,496 with Prime Factorization

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

2 x 31 x 7 x 339 x 289 x 8 = 340155312

Therefore, the lowest common multiple of 434,678,289,496 is 340155312.

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.

434 x 678 x 289 x 496 = 42179258688

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.

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

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

289 : 1, 17, 289

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,678,289,496, is 1.

Now, the common factors can be found like this.

434:2x 7x 31

678:2x 3x 113

289:17x 17

496:2x 2x 2x 2x 31

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 31 = 124

Therefore, the value for common factors is 124.

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 = 42179258688/(1x124)

LCM = 42179258688/124

LCM = 340155312

Thus, we can understand that the LCM of 434,678,289,496 is 340155312.

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

• LCM of 158, 270, 695, 384
• LCM of 835, 777, 778, 616
• LCM of 578, 449, 800, 850
• LCM of 268, 622, 368, 901
• LCM of 437, 940, 931, 890

1. What is the LCM of 434, 678, 289, 496?

Answer: LCM of 434, 678, 289, 496 is 340155312.

2. How to calculate the LCM of 434, 678, 289, 496?

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 434, 678, 289, 496.

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}.