Given numbers are 426,706,692,75

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

The LCM of 426,706,692,75 is 1300769700.

Find LCM of 426,706,692,75 with Prime Factorization

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

2 x 3 x 71 x 353 x 346 x 25 = 1300769700

Therefore, the lowest common multiple of 426,706,692,75 is 1300769700.

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 706 x 692 x 75 = 15609236400

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

706 : 1, 2, 353, 706

692 : 1, 2, 4, 173, 346, 692

75 : 1, 3, 5, 15, 25, 75

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,706,692,75, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

706:2x 353

692:2x 2x 173

75:3x 5x 5

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 = 15609236400/(1x12)

LCM = 15609236400/12

LCM = 1300769700

Thus, we can understand that the LCM of 426,706,692,75 is 1300769700.

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

• LCM of 962, 699, 408, 60
• LCM of 441, 761, 674, 77
• LCM of 956, 529, 867, 88
• LCM of 207, 296, 507, 33
• LCM of 731, 890, 701, 23

1. What is the LCM of 426, 706, 692, 75?

Answer: LCM of 426, 706, 692, 75 is 1300769700.

2. How to calculate the LCM of 426, 706, 692, 75?

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, 706, 692, 75.

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}.