Given numbers are 946,533,104,214

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

The LCM of 946,533,104,214 is 215805304.

Find LCM of 946,533,104,214 with Prime Factorization

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

2 x 13 x 473 x 41 x 4 x 107 = 215805304

Therefore, the lowest common multiple of 946,533,104,214 is 215805304.

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 533 x 104 x 214 = 11221875808

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

533 : 1, 13, 41, 533

104 : 1, 2, 4, 8, 13, 26, 52, 104

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,533,104,214, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

533:13x 41

104:2x 2x 2x 13

214:2x 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 13 = 52

Therefore, the value for common factors is 52.

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 = 11221875808/(1x52)

LCM = 11221875808/52

LCM = 215805304

Thus, we can understand that the LCM of 946,533,104,214 is 215805304.

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

• LCM of 751, 801, 199, 182
• LCM of 279, 528, 365, 440
• LCM of 630, 530, 309, 768
• LCM of 724, 314, 179, 269
• LCM of 913, 991, 228, 728

1. What is the LCM of 946, 533, 104, 214?

Answer: LCM of 946, 533, 104, 214 is 215805304.

2. How to calculate the LCM of 946, 533, 104, 214?

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, 533, 104, 214.

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}.