Given numbers are 845,480,240,169,279

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

The LCM of 845,480,240,169,279 is 7544160.

Find LCM of 845,480,240,169,279 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 13 x 13 x 1 x 1 x 2 x 1 x 93 = 7544160

Therefore, the lowest common multiple of 845,480,240,169,279 is 7544160.

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.

845 x 480 x 240 x 169 x 279 = 4589866944000

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.

845 : 1, 5, 13, 65, 169, 845

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

169 : 1, 13, 169

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,480,240,169,279, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

480:2x 2x 2x 2x 2x 3x 5

240:2x 2x 2x 2x 3x 5

169:13x 13

279:3x 3x 31

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 3x 3x 5x 5x 13x 13 = 608400

Therefore, the value for common factors is 608400.

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 = 4589866944000/(1x608400)

LCM = 4589866944000/608400

LCM = 7544160

Thus, we can understand that the LCM of 845,480,240,169,279 is 7544160.

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

• LCM of 710, 803, 995, 625, 914
• LCM of 754, 620, 779, 123, 123
• LCM of 170, 718, 527, 785, 426
• LCM of 982, 362, 434, 874, 550
• LCM of 237, 619, 769, 175, 249

1. What is the LCM of 845, 480, 240, 169, 279?

Answer: LCM of 845, 480, 240, 169, 279 is 7544160.

2. How to calculate the LCM of 845, 480, 240, 169, 279?

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 845, 480, 240, 169, 279.

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}.