Given numbers are 828,167,408,385,420

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

The LCM of 828,167,408,385,420 is 1810032840.

Find LCM of 828,167,408,385,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 69 x 167 x 34 x 11 x 1 = 1810032840

Therefore, the lowest common multiple of 828,167,408,385,420 is 1810032840.

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.

828 x 167 x 408 x 385 x 420 = 9122565513600

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.

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

167 : 1, 167

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

385 : 1, 5, 7, 11, 35, 55, 77, 385

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,167,408,385,420, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

167:167

408:2x 2x 2x 3x 17

385:5x 7x 11

420:2x 2x 3x 5x 7

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 7 = 5040

Therefore, the value for common factors is 5040.

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 = 9122565513600/(1x5040)

LCM = 9122565513600/5040

LCM = 1810032840

Thus, we can understand that the LCM of 828,167,408,385,420 is 1810032840.

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

• LCM of 347, 926, 548, 363, 692
• LCM of 686, 369, 414, 184, 554
• LCM of 458, 213, 569, 288, 475
• LCM of 937, 327, 810, 504, 599
• LCM of 881, 789, 985, 870, 443

1. What is the LCM of 828, 167, 408, 385, 420?

Answer: LCM of 828, 167, 408, 385, 420 is 1810032840.

2. How to calculate the LCM of 828, 167, 408, 385, 420?

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 828, 167, 408, 385, 420.

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}.