Given numbers are 946,214,361,428

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

The LCM of 946,214,361,428 is 73082284.

Find LCM of 946,214,361,428 with Prime Factorization

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

2 x 107 x 473 x 1 x 361 x 2 = 73082284

Therefore, the lowest common multiple of 946,214,361,428 is 73082284.

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 214 x 361 x 428 = 31279217552

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

214 : 1, 2, 107, 214

361 : 1, 19, 361

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,214,361,428, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

214:2x 107

361:19x 19

428:2x 2x 107

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 107 = 428

Therefore, the value for common factors is 428.

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 = 31279217552/(1x428)

LCM = 31279217552/428

LCM = 73082284

Thus, we can understand that the LCM of 946,214,361,428 is 73082284.

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

• LCM of 499, 208, 169, 464
• LCM of 274, 900, 726, 972
• LCM of 988, 722, 803, 900
• LCM of 138, 880, 188, 339
• LCM of 728, 882, 825, 532

1. What is the LCM of 946, 214, 361, 428?

Answer: LCM of 946, 214, 361, 428 is 73082284.

2. How to calculate the LCM of 946, 214, 361, 428?

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, 214, 361, 428.

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}.