Given numbers are 836,920,506,528

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

The LCM of 836,920,506,528 is 1153680.

Find LCM of 836,920,506,528 with Prime Factorization

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

2 x 2 x 2 x 11 x 23 x 19 x 5 x 1 x 6 = 1153680

Therefore, the lowest common multiple of 836,920,506,528 is 1153680.

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 920 x 506 x 528 = 205484252160

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,920,506,528, is 2.

Now, the common factors can be found like this.

836:2x 2x 11x 19

920:2x 2x 2x 5x 23

506:2x 11x 23

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

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 11x 11x 23 = 89056

Therefore, the value for common factors is 89056.

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 = 205484252160/(2x89056)

LCM = 205484252160/178112

LCM = 1153680

Thus, we can understand that the LCM of 836,920,506,528 is 1153680.

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

• LCM of 315, 468, 280, 526
• LCM of 800, 580, 357, 185
• LCM of 874, 397, 443, 529
• LCM of 748, 550, 434, 971
• LCM of 258, 793, 636, 302

1. What is the LCM of 836, 920, 506, 528?

Answer: LCM of 836, 920, 506, 528 is 1153680.

2. How to calculate the LCM of 836, 920, 506, 528?

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, 920, 506, 528.

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}.