Given numbers are 378,948,460,691

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

The LCM of 378,948,460,691 is 4745967660.

Find LCM of 378,948,460,691 with Prime Factorization

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

2 x 2 x 3 x 63 x 79 x 115 x 691 = 4745967660

Therefore, the lowest common multiple of 378,948,460,691 is 4745967660.

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.

378 x 948 x 460 x 691 = 113903223840

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

691 : 1, 691

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,948,460,691, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

948:2x 2x 3x 79

460:2x 2x 5x 23

691:691

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 3 = 24

Therefore, the value for common factors is 24.

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 = 113903223840/(1x24)

LCM = 113903223840/24

LCM = 4745967660

Thus, we can understand that the LCM of 378,948,460,691 is 4745967660.

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

• LCM of 994, 803, 443, 216
• LCM of 186, 399, 623, 953
• LCM of 854, 836, 571, 335
• LCM of 367, 808, 186, 757
• LCM of 666, 400, 704, 105

1. What is the LCM of 378, 948, 460, 691?

Answer: LCM of 378, 948, 460, 691 is 4745967660.

2. How to calculate the LCM of 378, 948, 460, 691?

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 378, 948, 460, 691.

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}.