Given numbers are 208,324,554,430,602

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

The LCM of 208,324,554,430,602 is 7023678480.

Find LCM of 208,324,554,430,602 with Prime Factorization

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

2 x 2 x 43 x 52 x 81 x 277 x 5 x 7 = 7023678480

Therefore, the lowest common multiple of 208,324,554,430,602 is 7023678480.

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.

208 x 324 x 554 x 430 x 602 = 9664581588480

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.

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

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

554 : 1, 2, 277, 554

430 : 1, 2, 5, 10, 43, 86, 215, 430

602 : 1, 2, 7, 14, 43, 86, 301, 602

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,324,554,430,602, is 2.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

324:2x 2x 3x 3x 3x 3

554:2x 277

430:2x 5x 43

602:2x 7x 43

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 43 = 688

Therefore, the value for common factors is 688.

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 = 9664581588480/(2x688)

LCM = 9664581588480/1376

LCM = 7023678480

Thus, we can understand that the LCM of 208,324,554,430,602 is 7023678480.

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

• LCM of 384, 315, 989, 417, 833
• LCM of 926, 485, 807, 469, 534
• LCM of 227, 631, 342, 750, 108
• LCM of 260, 598, 615, 323, 890
• LCM of 657, 200, 279, 795, 672

1. What is the LCM of 208, 324, 554, 430, 602?

Answer: LCM of 208, 324, 554, 430, 602 is 7023678480.

2. How to calculate the LCM of 208, 324, 554, 430, 602?

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 208, 324, 554, 430, 602.

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}.