Given numbers are 163,230,458,520,975

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

The LCM of 163,230,458,520,975 is 6696463800.

Find LCM of 163,230,458,520,975 with Prime Factorization

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

2 x 5 x 13 x 163 x 23 x 229 x 4 x 15 = 6696463800

Therefore, the lowest common multiple of 163,230,458,520,975 is 6696463800.

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.

163 x 230 x 458 x 520 x 975 = 8705402940000

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.

163 : 1, 163

230 : 1, 2, 5, 10, 23, 46, 115, 230

458 : 1, 2, 229, 458

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

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 163,230,458,520,975, is 1.

Now, the common factors can be found like this.

163:163

230:2x 5x 23

458:2x 229

520:2x 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 5x 5x 13 = 1300

Therefore, the value for common factors is 1300.

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 = 8705402940000/(1x1300)

LCM = 8705402940000/1300

LCM = 6696463800

Thus, we can understand that the LCM of 163,230,458,520,975 is 6696463800.

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

• LCM of 611, 132, 283, 505, 581
• LCM of 567, 426, 210, 920, 546
• LCM of 716, 508, 634, 905, 337
• LCM of 945, 674, 581, 160, 567
• LCM of 495, 987, 798, 754, 493

1. What is the LCM of 163, 230, 458, 520, 975?

Answer: LCM of 163, 230, 458, 520, 975 is 6696463800.

2. How to calculate the LCM of 163, 230, 458, 520, 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 163, 230, 458, 520, 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}.