Given numbers are 480,845,292,812,676

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

The LCM of 480,845,292,812,676 is 1202117280.

Find LCM of 480,845,292,812,676 with Prime Factorization

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

2 x 2 x 5 x 13 x 13 x 24 x 1 x 73 x 203 x 1 = 1202117280

Therefore, the lowest common multiple of 480,845,292,812,676 is 1202117280.

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.

480 x 845 x 292 x 812 x 676 = 65010502502400

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.

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

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

292 : 1, 2, 4, 73, 146, 292

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,845,292,812,676, is 1.

Now, the common factors can be found like this.

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

845:5x 13x 13

292:2x 2x 73

812:2x 2x 7x 29

676:2x 2x 13x 13

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 2x 2x 5x 13x 13 = 54080

Therefore, the value for common factors is 54080.

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 = 65010502502400/(1x54080)

LCM = 65010502502400/54080

LCM = 1202117280

Thus, we can understand that the LCM of 480,845,292,812,676 is 1202117280.

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

• LCM of 244, 954, 330, 407, 283
• LCM of 335, 848, 721, 606, 974
• LCM of 483, 901, 905, 829, 153
• LCM of 972, 171, 958, 798, 213
• LCM of 540, 822, 467, 480, 713

1. What is the LCM of 480, 845, 292, 812, 676?

Answer: LCM of 480, 845, 292, 812, 676 is 1202117280.

2. How to calculate the LCM of 480, 845, 292, 812, 676?

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 480, 845, 292, 812, 676.

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}.