Given numbers are 836,404,700,312

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

The LCM of 836,404,700,312 is 1152551400.

Find LCM of 836,404,700,312 with Prime Factorization

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

2 x 2 x 209 x 101 x 175 x 78 = 1152551400

Therefore, the lowest common multiple of 836,404,700,312 is 1152551400.

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.

836 x 404 x 700 x 312 = 73763289600

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.

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

404 : 1, 2, 4, 101, 202, 404

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,404,700,312, is 4.

Now, the common factors can be found like this.

836:2x 2x 11x 19

404:2x 2x 101

700:2x 2x 5x 5x 7

312:2x 2x 2x 3x 13

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 = 73763289600/(4x16)

LCM = 73763289600/64

LCM = 1152551400

Thus, we can understand that the LCM of 836,404,700,312 is 1152551400.

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

• LCM of 823, 964, 778, 566
• LCM of 848, 899, 670, 570
• LCM of 525, 536, 209, 871
• LCM of 907, 616, 228, 968
• LCM of 754, 661, 827, 305

1. What is the LCM of 836, 404, 700, 312?

Answer: LCM of 836, 404, 700, 312 is 1152551400.

2. How to calculate the LCM of 836, 404, 700, 312?

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 836, 404, 700, 312.

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}.