Given numbers are 377,952,434,312

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

The LCM of 377,952,434,312 is 33378072.

Find LCM of 377,952,434,312 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 29 x 17 x 31 x 3 = 33378072

Therefore, the lowest common multiple of 377,952,434,312 is 33378072.

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.

377 x 952 x 434 x 312 = 48598472832

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.

377 : 1, 13, 29, 377

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

434 : 1, 2, 7, 14, 31, 62, 217, 434

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,952,434,312, is 1.

Now, the common factors can be found like this.

377:13x 29

952:2x 2x 2x 7x 17

434:2x 7x 31

312:2x 2x 2x 3x 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 7x 13 = 1456

Therefore, the value for common factors is 1456.

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 = 48598472832/(1x1456)

LCM = 48598472832/1456

LCM = 33378072

Thus, we can understand that the LCM of 377,952,434,312 is 33378072.

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

• LCM of 486, 635, 677, 774
• LCM of 978, 588, 516, 223
• LCM of 614, 194, 448, 304
• LCM of 642, 550, 289, 322
• LCM of 436, 320, 547, 604

1. What is the LCM of 377, 952, 434, 312?

Answer: LCM of 377, 952, 434, 312 is 33378072.

2. How to calculate the LCM of 377, 952, 434, 312?

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 377, 952, 434, 312.

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}.