Given numbers are 496,252,410,772

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

The LCM of 496,252,410,772 is 1236327120.

Find LCM of 496,252,410,772 with Prime Factorization

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

2 x 2 x 124 x 63 x 205 x 193 = 1236327120

Therefore, the lowest common multiple of 496,252,410,772 is 1236327120.

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.

496 x 252 x 410 x 772 = 39562467840

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.

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

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

410 : 1, 2, 5, 10, 41, 82, 205, 410

772 : 1, 2, 4, 193, 386, 772

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,252,410,772, is 2.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

252:2x 2x 3x 3x 7

410:2x 5x 41

772:2x 2x 193

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 2 = 16

Therefore, the value for common factors is 16.

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 = 39562467840/(2x16)

LCM = 39562467840/32

LCM = 1236327120

Thus, we can understand that the LCM of 496,252,410,772 is 1236327120.

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

• LCM of 775, 105, 895, 708
• LCM of 461, 702, 186, 670
• LCM of 640, 116, 151, 408
• LCM of 871, 784, 864, 200
• LCM of 962, 150, 579, 230

1. What is the LCM of 496, 252, 410, 772?

Answer: LCM of 496, 252, 410, 772 is 1236327120.

2. How to calculate the LCM of 496, 252, 410, 772?

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 496, 252, 410, 772.

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}.