Given numbers are 380,652,234,364

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

The LCM of 380,652,234,364 is 50728860.

Find LCM of 380,652,234,364 with Prime Factorization

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

2 x 2 x 13 x 95 x 163 x 9 x 7 = 50728860

Therefore, the lowest common multiple of 380,652,234,364 is 50728860.

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.

380 x 652 x 234 x 364 = 21103205760

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

652 : 1, 2, 4, 163, 326, 652

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,652,234,364, is 2.

Now, the common factors can be found like this.

380:2x 2x 5x 19

652:2x 2x 163

234:2x 3x 3x 13

364:2x 2x 7x 13

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 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 21103205760/(2x208)

LCM = 21103205760/416

LCM = 50728860

Thus, we can understand that the LCM of 380,652,234,364 is 50728860.

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

• LCM of 738, 428, 650, 933
• LCM of 623, 391, 545, 844
• LCM of 680, 206, 130, 335
• LCM of 334, 589, 641, 108
• LCM of 716, 180, 111, 737

1. What is the LCM of 380, 652, 234, 364?

Answer: LCM of 380, 652, 234, 364 is 50728860.

2. How to calculate the LCM of 380, 652, 234, 364?

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 380, 652, 234, 364.

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}.