Given numbers are 426,458,690,614,234

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

The LCM of 426,458,690,614,234 is 134321614830.

Find LCM of 426,458,690,614,234 with Prime Factorization

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

2 x 3 x 71 x 229 x 115 x 307 x 39 = 134321614830

Therefore, the lowest common multiple of 426,458,690,614,234 is 134321614830.

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.

426 x 458 x 690 x 614 x 234 = 19342312535520

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.

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

458 : 1, 2, 229, 458

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

614 : 1, 2, 307, 614

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,458,690,614,234, is 2.

Now, the common factors can be found like this.

426:2x 3x 71

458:2x 229

690:2x 3x 5x 23

614:2x 307

234:2x 3x 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 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 = 19342312535520/(2x72)

LCM = 19342312535520/144

LCM = 134321614830

Thus, we can understand that the LCM of 426,458,690,614,234 is 134321614830.

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

• LCM of 229, 763, 876, 810, 810
• LCM of 404, 578, 499, 431, 392
• LCM of 541, 763, 911, 531, 308
• LCM of 391, 650, 883, 180, 220
• LCM of 991, 157, 211, 549, 779

1. What is the LCM of 426, 458, 690, 614, 234?

Answer: LCM of 426, 458, 690, 614, 234 is 134321614830.

2. How to calculate the LCM of 426, 458, 690, 614, 234?

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 426, 458, 690, 614, 234.

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}.