Given numbers are 890,128,692,828

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

The LCM of 890,128,692,828 is 2039794560.

Find LCM of 890,128,692,828 with Prime Factorization

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

2 x 2 x 445 x 32 x 173 x 207 = 2039794560

Therefore, the lowest common multiple of 890,128,692,828 is 2039794560.

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.

890 x 128 x 692 x 828 = 65273425920

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

128 : 1, 2, 4, 8, 16, 32, 64, 128

692 : 1, 2, 4, 173, 346, 692

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,128,692,828, is 2.

Now, the common factors can be found like this.

890:2x 5x 89

128:2x 2x 2x 2x 2x 2x 2

692:2x 2x 173

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 2 = 16

Therefore, the value for common factors is 16.

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 = 65273425920/(2x16)

LCM = 65273425920/32

LCM = 2039794560

Thus, we can understand that the LCM of 890,128,692,828 is 2039794560.

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

• LCM of 676, 562, 766, 942
• LCM of 396, 161, 408, 579
• LCM of 464, 994, 924, 150
• LCM of 485, 129, 360, 950
• LCM of 213, 289, 788, 536

1. What is the LCM of 890, 128, 692, 828?

Answer: LCM of 890, 128, 692, 828 is 2039794560.

2. How to calculate the LCM of 890, 128, 692, 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 890, 128, 692, 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}.