Given numbers are 428,167,830,260,975

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

The LCM of 428,167,830,260,975 is 5784195300.

Find LCM of 428,167,830,260,975 with Prime Factorization

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

2 x 2 x 5 x 13 x 107 x 167 x 83 x 1 x 15 = 5784195300

Therefore, the lowest common multiple of 428,167,830,260,975 is 5784195300.

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 167 x 830 x 260 x 975 = 15038907780000

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

167 : 1, 167

830 : 1, 2, 5, 10, 83, 166, 415, 830

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,167,830,260,975, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

167:167

830:2x 5x 83

260:2x 2x 5x 13

975:3x 5x 5x 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 5x 5x 13 = 2600

Therefore, the value for common factors is 2600.

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 = 15038907780000/(1x2600)

LCM = 15038907780000/2600

LCM = 5784195300

Thus, we can understand that the LCM of 428,167,830,260,975 is 5784195300.

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

• LCM of 980, 953, 103, 760, 381
• LCM of 784, 571, 338, 721, 926
• LCM of 736, 442, 202, 376, 711
• LCM of 564, 410, 787, 629, 832
• LCM of 475, 664, 822, 779, 417

1. What is the LCM of 428, 167, 830, 260, 975?

Answer: LCM of 428, 167, 830, 260, 975 is 5784195300.

2. How to calculate the LCM of 428, 167, 830, 260, 975?

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, 167, 830, 260, 975.

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}.