Given numbers are 542,414,598,173,509

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

The LCM of 542,414,598,173,509 is 128433071754.

Find LCM of 542,414,598,173,509 with Prime Factorization

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

2 x 23 x 271 x 9 x 13 x 173 x 509 = 128433071754

Therefore, the lowest common multiple of 542,414,598,173,509 is 128433071754.

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.

542 x 414 x 598 x 173 x 509 = 11815842601368

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.

542 : 1, 2, 271, 542

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

598 : 1, 2, 13, 23, 26, 46, 299, 598

173 : 1, 173

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,414,598,173,509, is 1.

Now, the common factors can be found like this.

542:2x 271

414:2x 3x 3x 23

598:2x 13x 23

173:173

509:509

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 23 = 92

Therefore, the value for common factors is 92.

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 = 11815842601368/(1x92)

LCM = 11815842601368/92

LCM = 128433071754

Thus, we can understand that the LCM of 542,414,598,173,509 is 128433071754.

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

• LCM of 656, 271, 985, 174, 149
• LCM of 606, 240, 300, 905, 144
• LCM of 623, 869, 946, 592, 193
• LCM of 535, 329, 727, 555, 297
• LCM of 278, 253, 359, 634, 248

1. What is the LCM of 542, 414, 598, 173, 509?

Answer: LCM of 542, 414, 598, 173, 509 is 128433071754.

2. How to calculate the LCM of 542, 414, 598, 173, 509?

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 542, 414, 598, 173, 509.

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}.