Given numbers are 452,426,690,201,614

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

The LCM of 452,426,690,201,614 is 227734620060.

Find LCM of 452,426,690,201,614 with Prime Factorization

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

2 x 3 x 226 x 71 x 115 x 67 x 307 = 227734620060

Therefore, the lowest common multiple of 452,426,690,201,614 is 227734620060.

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.

452 x 426 x 690 x 201 x 614 = 16396892644320

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.

452 : 1, 2, 4, 113, 226, 452

426 : 1, 2, 3, 6, 71, 142, 213, 426

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

201 : 1, 3, 67, 201

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,426,690,201,614, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

426:2x 3x 71

690:2x 3x 5x 23

201:3x 67

614:2x 307

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 16396892644320/(1x72)

LCM = 16396892644320/72

LCM = 227734620060

Thus, we can understand that the LCM of 452,426,690,201,614 is 227734620060.

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

• LCM of 465, 536, 730, 849, 724
• LCM of 404, 867, 822, 666, 473
• LCM of 120, 478, 330, 559, 417
• LCM of 548, 589, 834, 947, 379
• LCM of 247, 599, 895, 409, 863

1. What is the LCM of 452, 426, 690, 201, 614?

Answer: LCM of 452, 426, 690, 201, 614 is 227734620060.

2. How to calculate the LCM of 452, 426, 690, 201, 614?

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 452, 426, 690, 201, 614.

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}.