Given numbers are 428,364,753

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

The LCM of 428,364,753 is 29327844.

Find LCM of 428,364,753 with Prime Factorization

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

2 x 2 x 107 x 91 x 753 = 29327844

Therefore, the lowest common multiple of 428,364,753 is 29327844.

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.

428 x 364 x 753 = 117311376

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.

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,364,753, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

364:2x 2x 7x 13

753:3x 251

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 = 117311376/(1x4)

LCM = 117311376/4

LCM = 29327844

Thus, we can understand that the LCM of 428,364,753 is 29327844.

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

• LCM of 282, 896, 770
• LCM of 494, 772, 275
• LCM of 800, 673, 803
• LCM of 651, 721, 405
• LCM of 205, 712, 463

1. What is the LCM of 428, 364, 753?

Answer: LCM of 428, 364, 753 is 29327844.

2. How to calculate the LCM of 428, 364, 753?

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 428, 364, 753.

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}.