Given numbers are 100,416,326,190,460

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

The LCM of 100,416,326,190,460 is 740802400.

Find LCM of 100,416,326,190,460 with Prime Factorization

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

2 x 2 x 5 x 5 x 104 x 163 x 19 x 23 = 740802400

Therefore, the lowest common multiple of 100,416,326,190,460 is 740802400.

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.

100 x 416 x 326 x 190 x 460 = 1185283840000

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.

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

326 : 1, 2, 163, 326

190 : 1, 2, 5, 10, 19, 38, 95, 190

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,416,326,190,460, is 2.

Now, the common factors can be found like this.

100:2x 2x 5x 5

416:2x 2x 2x 2x 2x 13

326:2x 163

190:2x 5x 19

460:2x 2x 5x 23

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 2x 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 1185283840000/(2x800)

LCM = 1185283840000/1600

LCM = 740802400

Thus, we can understand that the LCM of 100,416,326,190,460 is 740802400.

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

• LCM of 386, 527, 705, 233, 477
• LCM of 123, 391, 880, 755, 231
• LCM of 353, 850, 378, 951, 952
• LCM of 874, 832, 621, 848, 788
• LCM of 962, 993, 365, 312, 793

1. What is the LCM of 100, 416, 326, 190, 460?

Answer: LCM of 100, 416, 326, 190, 460 is 740802400.

2. How to calculate the LCM of 100, 416, 326, 190, 460?

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 100, 416, 326, 190, 460.

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}.