Given numbers are 380,442,553,262

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

The LCM of 380,442,553,262 is 6083763140.

Find LCM of 380,442,553,262 with Prime Factorization

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

2 x 190 x 221 x 553 x 131 = 6083763140

Therefore, the lowest common multiple of 380,442,553,262 is 6083763140.

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 442 x 553 x 262 = 24335052560

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

553 : 1, 7, 79, 553

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,442,553,262, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

442:2x 13x 17

553:7x 79

262:2x 131

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 = 24335052560/(1x4)

LCM = 24335052560/4

LCM = 6083763140

Thus, we can understand that the LCM of 380,442,553,262 is 6083763140.

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

• LCM of 642, 194, 350, 186
• LCM of 648, 915, 501, 559
• LCM of 874, 752, 100, 368
• LCM of 472, 302, 819, 237
• LCM of 300, 899, 831, 934

1. What is the LCM of 380, 442, 553, 262?

Answer: LCM of 380, 442, 553, 262 is 6083763140.

2. How to calculate the LCM of 380, 442, 553, 262?

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, 442, 553, 262.

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}.