Given numbers are 420,522,546,625,261

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

The LCM of 420,522,546,625,261 is 59377500.

Find LCM of 420,522,546,625,261 with Prime Factorization

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

2 x 3 x 3 x 5 x 7 x 29 x 2 x 1 x 13 x 125 x 1 = 59377500

Therefore, the lowest common multiple of 420,522,546,625,261 is 59377500.

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.

420 x 522 x 546 x 625 x 261 = 19526884650000

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.

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

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

625 : 1, 5, 25, 125, 625

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,522,546,625,261, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

522:2x 3x 3x 29

546:2x 3x 7x 13

625:5x 5x 5x 5

261:3x 3x 29

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 3x 3x 3x 3x 5x 7x 29 = 328860

Therefore, the value for common factors is 328860.

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 = 19526884650000/(1x328860)

LCM = 19526884650000/328860

LCM = 59377500

Thus, we can understand that the LCM of 420,522,546,625,261 is 59377500.

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

• LCM of 527, 419, 285, 123, 760
• LCM of 785, 491, 521, 659, 903
• LCM of 256, 205, 735, 352, 424
• LCM of 135, 776, 615, 432, 113
• LCM of 753, 706, 184, 230, 582

1. What is the LCM of 420, 522, 546, 625, 261?

Answer: LCM of 420, 522, 546, 625, 261 is 59377500.

2. How to calculate the LCM of 420, 522, 546, 625, 261?

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 420, 522, 546, 625, 261.

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}.