Given numbers are 380,402,866,674

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

The LCM of 380,402,866,674 is 11145445980.

Find LCM of 380,402,866,674 with Prime Factorization

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

2 x 190 x 201 x 433 x 337 = 11145445980

Therefore, the lowest common multiple of 380,402,866,674 is 11145445980.

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 402 x 866 x 674 = 89163567840

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

866 : 1, 2, 433, 866

674 : 1, 2, 337, 674

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,402,866,674, is 2.

Now, the common factors can be found like this.

380:2x 2x 5x 19

402:2x 3x 67

866:2x 433

674:2x 337

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 = 89163567840/(2x4)

LCM = 89163567840/8

LCM = 11145445980

Thus, we can understand that the LCM of 380,402,866,674 is 11145445980.

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

• LCM of 718, 782, 564, 799
• LCM of 239, 900, 934, 771
• LCM of 435, 619, 485, 121
• LCM of 338, 792, 210, 196
• LCM of 165, 926, 619, 316

1. What is the LCM of 380, 402, 866, 674?

Answer: LCM of 380, 402, 866, 674 is 11145445980.

2. How to calculate the LCM of 380, 402, 866, 674?

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, 402, 866, 674.

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}.