Given numbers are 660,420,169,249

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

The LCM of 660,420,169,249 is 64804740.

Find LCM of 660,420,169,249 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 7 x 169 x 83 = 64804740

Therefore, the lowest common multiple of 660,420,169,249 is 64804740.

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.

660 x 420 x 169 x 249 = 11664853200

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

169 : 1, 13, 169

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,420,169,249, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

420:2x 2x 3x 5x 7

169:13x 13

249:3x 83

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 5 = 180

Therefore, the value for common factors is 180.

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 = 11664853200/(1x180)

LCM = 11664853200/180

LCM = 64804740

Thus, we can understand that the LCM of 660,420,169,249 is 64804740.

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

• LCM of 619, 311, 723, 959
• LCM of 648, 583, 975, 346
• LCM of 182, 109, 410, 471
• LCM of 409, 791, 647, 807
• LCM of 790, 643, 496, 280

1. What is the LCM of 660, 420, 169, 249?

Answer: LCM of 660, 420, 169, 249 is 64804740.

2. How to calculate the LCM of 660, 420, 169, 249?

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 660, 420, 169, 249.

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}.