Given numbers are 823,268,220,138

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

The LCM of 823,268,220,138 is 837040380.

Find LCM of 823,268,220,138 with Prime Factorization

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

2 x 2 x 823 x 67 x 55 x 69 = 837040380

Therefore, the lowest common multiple of 823,268,220,138 is 837040380.

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.

823 x 268 x 220 x 138 = 6696323040

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.

823 : 1, 823

268 : 1, 2, 4, 67, 134, 268

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,268,220,138, is 1.

Now, the common factors can be found like this.

823:823

268:2x 2x 67

220:2x 2x 5x 11

138:2x 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 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 = 6696323040/(1x8)

LCM = 6696323040/8

LCM = 837040380

Thus, we can understand that the LCM of 823,268,220,138 is 837040380.

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

• LCM of 129, 886, 909, 280
• LCM of 684, 415, 656, 575
• LCM of 514, 285, 967, 592
• LCM of 908, 140, 990, 594
• LCM of 660, 845, 396, 645

1. What is the LCM of 823, 268, 220, 138?

Answer: LCM of 823, 268, 220, 138 is 837040380.

2. How to calculate the LCM of 823, 268, 220, 138?

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 823, 268, 220, 138.

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}.