Given numbers are 309,694,428

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

The LCM of 309,694,428 is 45891444.

Find LCM of 309,694,428 with Prime Factorization

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

2 x 309 x 347 x 214 = 45891444

Therefore, the lowest common multiple of 309,694,428 is 45891444.

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.

309 x 694 x 428 = 91782888

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.

309 : 1, 3, 103, 309

694 : 1, 2, 347, 694

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,694,428, is 1.

Now, the common factors can be found like this.

309:3x 103

694:2x 347

428:2x 2x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 91782888/(1x2)

LCM = 91782888/2

LCM = 45891444

Thus, we can understand that the LCM of 309,694,428 is 45891444.

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

• LCM of 644, 301, 321
• LCM of 834, 810, 231
• LCM of 873, 874, 905
• LCM of 853, 458, 373
• LCM of 821, 318, 763

1. What is the LCM of 309, 694, 428?

Answer: LCM of 309, 694, 428 is 45891444.

2. How to calculate the LCM of 309, 694, 428?

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 309, 694, 428.

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}.