Given numbers are 828,408,138,154,991

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

The LCM of 828,408,138,154,991 is 2148194664.

Find LCM of 828,408,138,154,991 with Prime Factorization

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

2 x 2 x 3 x 23 x 1 x 34 x 3 x 77 x 991 = 2148194664

Therefore, the lowest common multiple of 828,408,138,154,991 is 2148194664.

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 408 x 138 x 154 x 991 = 7114820727168

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

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

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

154 : 1, 2, 7, 11, 14, 22, 77, 154

991 : 1, 991

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,408,138,154,991, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

408:2x 2x 2x 3x 17

138:2x 3x 23

154:2x 7x 11

991:991

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 = 7114820727168/(1x3312)

LCM = 7114820727168/3312

LCM = 2148194664

Thus, we can understand that the LCM of 828,408,138,154,991 is 2148194664.

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

• LCM of 826, 981, 698, 578, 272
• LCM of 377, 275, 321, 651, 904
• LCM of 894, 821, 466, 335, 298
• LCM of 568, 246, 787, 509, 445
• LCM of 147, 797, 619, 594, 916

1. What is the LCM of 828, 408, 138, 154, 991?

Answer: LCM of 828, 408, 138, 154, 991 is 2148194664.

2. How to calculate the LCM of 828, 408, 138, 154, 991?

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, 408, 138, 154, 991.

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}.