Given numbers are 138,480,473,962,828

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

The LCM of 138,480,473,962,828 is 7535230560.

Find LCM of 138,480,473,962,828 with Prime Factorization

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

2 x 2 x 3 x 23 x 1 x 40 x 473 x 481 x 3 = 7535230560

Therefore, the lowest common multiple of 138,480,473,962,828 is 7535230560.

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.

138 x 480 x 473 x 962 x 828 = 24956683614720

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

473 : 1, 11, 43, 473

962 : 1, 2, 13, 26, 37, 74, 481, 962

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,480,473,962,828, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

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

473:11x 43

962:2x 13x 37

828:2x 2x 3x 3x 23

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 23 = 3312

Therefore, the value for common factors is 3312.

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 = 24956683614720/(1x3312)

LCM = 24956683614720/3312

LCM = 7535230560

Thus, we can understand that the LCM of 138,480,473,962,828 is 7535230560.

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

• LCM of 111, 913, 693, 517, 450
• LCM of 413, 501, 400, 592, 466
• LCM of 564, 656, 147, 431, 687
• LCM of 222, 379, 674, 748, 432
• LCM of 261, 105, 304, 367, 918

1. What is the LCM of 138, 480, 473, 962, 828?

Answer: LCM of 138, 480, 473, 962, 828 is 7535230560.

2. How to calculate the LCM of 138, 480, 473, 962, 828?

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 138, 480, 473, 962, 828.

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}.