Given numbers are 434,566,614,726

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

The LCM of 434,566,614,726 is 13687406502.

Find LCM of 434,566,614,726 with Prime Factorization

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

2 x 217 x 283 x 307 x 363 = 13687406502

Therefore, the lowest common multiple of 434,566,614,726 is 13687406502.

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.

434 x 566 x 614 x 726 = 109499252016

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.

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

566 : 1, 2, 283, 566

614 : 1, 2, 307, 614

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,566,614,726, is 2.

Now, the common factors can be found like this.

434:2x 7x 31

566:2x 283

614:2x 307

726:2x 3x 11x 11

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 = 109499252016/(2x4)

LCM = 109499252016/8

LCM = 13687406502

Thus, we can understand that the LCM of 434,566,614,726 is 13687406502.

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

• LCM of 241, 141, 941, 663
• LCM of 111, 294, 906, 216
• LCM of 432, 231, 125, 257
• LCM of 841, 475, 183, 977
• LCM of 343, 214, 428, 605

1. What is the LCM of 434, 566, 614, 726?

Answer: LCM of 434, 566, 614, 726 is 13687406502.

2. How to calculate the LCM of 434, 566, 614, 726?

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 434, 566, 614, 726.

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}.