Given numbers are 314,432,754,690

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

The LCM of 314,432,754,690 is 2940509520.

Find LCM of 314,432,754,690 with Prime Factorization

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

2 x 3 x 157 x 72 x 377 x 115 = 2940509520

Therefore, the lowest common multiple of 314,432,754,690 is 2940509520.

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.

314 x 432 x 754 x 690 = 70572228480

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.

314 : 1, 2, 157, 314

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

754 : 1, 2, 13, 26, 29, 58, 377, 754

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,432,754,690, is 2.

Now, the common factors can be found like this.

314:2x 157

432:2x 2x 2x 2x 3x 3x 3

754:2x 13x 29

690:2x 3x 5x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 70572228480/(2x12)

LCM = 70572228480/24

LCM = 2940509520

Thus, we can understand that the LCM of 314,432,754,690 is 2940509520.

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

• LCM of 942, 303, 101, 933
• LCM of 149, 515, 910, 423
• LCM of 666, 329, 342, 826
• LCM of 900, 304, 500, 244
• LCM of 780, 883, 647, 363

1. What is the LCM of 314, 432, 754, 690?

Answer: LCM of 314, 432, 754, 690 is 2940509520.

2. How to calculate the LCM of 314, 432, 754, 690?

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 314, 432, 754, 690.

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}.