Given numbers are 480,369,740,145,415

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

The LCM of 480,369,740,145,415 is 5258043360.

Find LCM of 480,369,740,145,415 with Prime Factorization

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

2 x 2 x 3 x 5 x 8 x 123 x 37 x 29 x 83 = 5258043360

Therefore, the lowest common multiple of 480,369,740,145,415 is 5258043360.

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 369 x 740 x 145 x 415 = 7887065040000

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

369 : 1, 3, 9, 41, 123, 369

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

145 : 1, 5, 29, 145

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,369,740,145,415, is 1.

Now, the common factors can be found like this.

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

369:3x 3x 41

740:2x 2x 5x 37

145:5x 29

415:5x 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 5x 5x 5 = 1500

Therefore, the value for common factors is 1500.

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 = 7887065040000/(1x1500)

LCM = 7887065040000/1500

LCM = 5258043360

Thus, we can understand that the LCM of 480,369,740,145,415 is 5258043360.

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

• LCM of 365, 821, 460, 760, 240
• LCM of 589, 840, 792, 942, 618
• LCM of 789, 610, 150, 900, 862
• LCM of 444, 168, 816, 264, 910
• LCM of 895, 563, 586, 308, 818

1. What is the LCM of 480, 369, 740, 145, 415?

Answer: LCM of 480, 369, 740, 145, 415 is 5258043360.

2. How to calculate the LCM of 480, 369, 740, 145, 415?

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, 369, 740, 145, 415.

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}.