Given numbers are 852,219,299,969

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

The LCM of 852,219,299,969 is 6006703092.

Find LCM of 852,219,299,969 with Prime Factorization

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

3 x 284 x 73 x 299 x 323 = 6006703092

Therefore, the lowest common multiple of 852,219,299,969 is 6006703092.

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.

852 x 219 x 299 x 969 = 54060327828

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

219 : 1, 3, 73, 219

299 : 1, 13, 23, 299

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,219,299,969, is 1.

Now, the common factors can be found like this.

852:2x 2x 3x 71

219:3x 73

299:13x 23

969:3x 17x 19

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 54060327828/(1x9)

LCM = 54060327828/9

LCM = 6006703092

Thus, we can understand that the LCM of 852,219,299,969 is 6006703092.

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

• LCM of 778, 817, 334, 696
• LCM of 612, 876, 677, 356
• LCM of 772, 250, 289, 225
• LCM of 573, 991, 210, 941
• LCM of 207, 400, 132, 268

1. What is the LCM of 852, 219, 299, 969?

Answer: LCM of 852, 219, 299, 969 is 6006703092.

2. How to calculate the LCM of 852, 219, 299, 969?

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 852, 219, 299, 969.

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}.