Given numbers are 514,269,406,541,420

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

The LCM of 514,269,406,541,420 is 455543607540.

Find LCM of 514,269,406,541,420 with Prime Factorization

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

2 x 7 x 257 x 269 x 29 x 541 x 30 = 455543607540

Therefore, the lowest common multiple of 514,269,406,541,420 is 455543607540.

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.

514 x 269 x 406 x 541 x 420 = 12755221011120

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.

514 : 1, 2, 257, 514

269 : 1, 269

406 : 1, 2, 7, 14, 29, 58, 203, 406

541 : 1, 541

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,269,406,541,420, is 1.

Now, the common factors can be found like this.

514:2x 257

269:269

406:2x 7x 29

541:541

420:2x 2x 3x 5x 7

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 7 = 28

Therefore, the value for common factors is 28.

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 = 12755221011120/(1x28)

LCM = 12755221011120/28

LCM = 455543607540

Thus, we can understand that the LCM of 514,269,406,541,420 is 455543607540.

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

• LCM of 410, 280, 623, 336, 370
• LCM of 181, 689, 366, 238, 110
• LCM of 153, 496, 998, 348, 634
• LCM of 993, 567, 711, 210, 205
• LCM of 414, 754, 701, 973, 437

1. What is the LCM of 514, 269, 406, 541, 420?

Answer: LCM of 514, 269, 406, 541, 420 is 455543607540.

2. How to calculate the LCM of 514, 269, 406, 541, 420?

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 514, 269, 406, 541, 420.

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}.