Given numbers are 946,106,353,344

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

The LCM of 946,106,353,344 is 70794856.

Find LCM of 946,106,353,344 with Prime Factorization

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

2 x 43 x 11 x 53 x 353 x 4 = 70794856

Therefore, the lowest common multiple of 946,106,353,344 is 70794856.

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.

946 x 106 x 353 x 344 = 12176715232

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

106 : 1, 2, 53, 106

353 : 1, 353

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,106,353,344, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

106:2x 53

353:353

344:2x 2x 2x 43

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 43 = 172

Therefore, the value for common factors is 172.

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 = 12176715232/(1x172)

LCM = 12176715232/172

LCM = 70794856

Thus, we can understand that the LCM of 946,106,353,344 is 70794856.

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

• LCM of 156, 534, 336, 175
• LCM of 946, 349, 904, 309
• LCM of 976, 436, 762, 422
• LCM of 352, 533, 795, 750
• LCM of 543, 809, 665, 289

1. What is the LCM of 946, 106, 353, 344?

Answer: LCM of 946, 106, 353, 344 is 70794856.

2. How to calculate the LCM of 946, 106, 353, 344?

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 946, 106, 353, 344.

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}.