Given numbers are 477,142,446,214

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

The LCM of 477,142,446,214 is 1616200974.

Find LCM of 477,142,446,214 with Prime Factorization

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

2 x 477 x 71 x 223 x 107 = 1616200974

Therefore, the lowest common multiple of 477,142,446,214 is 1616200974.

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.

477 x 142 x 446 x 214 = 6464803896

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.

477 : 1, 3, 9, 53, 159, 477

142 : 1, 2, 71, 142

446 : 1, 2, 223, 446

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,142,446,214, is 1.

Now, the common factors can be found like this.

477:3x 3x 53

142:2x 71

446:2x 223

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 2 = 4

Therefore, the value for common factors is 4.

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 = 6464803896/(1x4)

LCM = 6464803896/4

LCM = 1616200974

Thus, we can understand that the LCM of 477,142,446,214 is 1616200974.

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

• LCM of 461, 543, 460, 384
• LCM of 679, 449, 956, 961
• LCM of 704, 746, 604, 587
• LCM of 642, 330, 327, 544
• LCM of 823, 978, 793, 734

1. What is the LCM of 477, 142, 446, 214?

Answer: LCM of 477, 142, 446, 214 is 1616200974.

2. How to calculate the LCM of 477, 142, 446, 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 477, 142, 446, 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}.