Given numbers are 916,125,128,493,838

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

The LCM of 916,125,128,493,838 is 756861488000.

Find LCM of 916,125,128,493,838 with Prime Factorization

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

2 x 2 x 229 x 125 x 32 x 493 x 419 = 756861488000

Therefore, the lowest common multiple of 916,125,128,493,838 is 756861488000.

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.

916 x 125 x 128 x 493 x 838 = 6054891904000

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.

916 : 1, 2, 4, 229, 458, 916

125 : 1, 5, 25, 125

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

493 : 1, 17, 29, 493

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,125,128,493,838, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

125:5x 5x 5

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

493:17x 29

838:2x 419

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6054891904000/(1x8)

LCM = 6054891904000/8

LCM = 756861488000

Thus, we can understand that the LCM of 916,125,128,493,838 is 756861488000.

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

• LCM of 788, 914, 252, 652, 160
• LCM of 297, 534, 155, 123, 424
• LCM of 294, 206, 797, 282, 775
• LCM of 905, 569, 750, 341, 595
• LCM of 101, 766, 384, 152, 913

1. What is the LCM of 916, 125, 128, 493, 838?

Answer: LCM of 916, 125, 128, 493, 838 is 756861488000.

2. How to calculate the LCM of 916, 125, 128, 493, 838?

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 916, 125, 128, 493, 838.

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}.