Given numbers are 428,574,461,738

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

The LCM of 428,574,461,738 is 509646564.

Find LCM of 428,574,461,738 with Prime Factorization

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

2 x 41 x 214 x 7 x 461 x 9 = 509646564

Therefore, the lowest common multiple of 428,574,461,738 is 509646564.

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 574 x 461 x 738 = 83582036496

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

461 : 1, 461

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,574,461,738, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

574:2x 7x 41

461:461

738:2x 3x 3x 41

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 41 = 164

Therefore, the value for common factors is 164.

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 = 83582036496/(1x164)

LCM = 83582036496/164

LCM = 509646564

Thus, we can understand that the LCM of 428,574,461,738 is 509646564.

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

• LCM of 943, 596, 579, 845
• LCM of 981, 502, 507, 803
• LCM of 800, 259, 768, 457
• LCM of 132, 208, 783, 103
• LCM of 960, 751, 934, 802

1. What is the LCM of 428, 574, 461, 738?

Answer: LCM of 428, 574, 461, 738 is 509646564.

2. How to calculate the LCM of 428, 574, 461, 738?

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, 574, 461, 738.

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}.