Given numbers are 282,971,133,864

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

The LCM of 282,971,133,864 is 5244238944.

Find LCM of 282,971,133,864 with Prime Factorization

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

2 x 3 x 47 x 971 x 133 x 144 = 5244238944

Therefore, the lowest common multiple of 282,971,133,864 is 5244238944.

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.

282 x 971 x 133 x 864 = 31465433664

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

971 : 1, 971

133 : 1, 7, 19, 133

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,971,133,864, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

971:971

133:7x 19

864:2x 2x 2x 2x 2x 3x 3x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 31465433664/(1x6)

LCM = 31465433664/6

LCM = 5244238944

Thus, we can understand that the LCM of 282,971,133,864 is 5244238944.

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

• LCM of 159, 243, 175, 604
• LCM of 109, 755, 768, 235
• LCM of 973, 705, 683, 170
• LCM of 687, 937, 103, 117
• LCM of 730, 711, 507, 175

1. What is the LCM of 282, 971, 133, 864?

Answer: LCM of 282, 971, 133, 864 is 5244238944.

2. How to calculate the LCM of 282, 971, 133, 864?

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 282, 971, 133, 864.

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}.