Given numbers are 361,788,214

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

The LCM of 361,788,214 is 30438076.

Find LCM of 361,788,214 with Prime Factorization

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

2 x 361 x 394 x 107 = 30438076

Therefore, the lowest common multiple of 361,788,214 is 30438076.

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.

361 x 788 x 214 = 60876152

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.

361 : 1, 19, 361

788 : 1, 2, 4, 197, 394, 788

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,788,214, is 1.

Now, the common factors can be found like this.

361:19x 19

788:2x 2x 197

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 60876152/(1x2)

LCM = 60876152/2

LCM = 30438076

Thus, we can understand that the LCM of 361,788,214 is 30438076.

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

• LCM of 753, 190, 452
• LCM of 979, 603, 981
• LCM of 706, 870, 193
• LCM of 345, 913, 937
• LCM of 735, 112, 614

1. What is the LCM of 361, 788, 214?

Answer: LCM of 361, 788, 214 is 30438076.

2. How to calculate the LCM of 361, 788, 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 361, 788, 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}.