Given numbers are 826,135,250,268

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

The LCM of 826,135,250,268 is 373558500.

Find LCM of 826,135,250,268 with Prime Factorization

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

2 x 5 x 413 x 27 x 25 x 134 = 373558500

Therefore, the lowest common multiple of 826,135,250,268 is 373558500.

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.

826 x 135 x 250 x 268 = 7471170000

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

135 : 1, 3, 5, 9, 15, 27, 45, 135

250 : 1, 2, 5, 10, 25, 50, 125, 250

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,135,250,268, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

135:3x 3x 3x 5

250:2x 5x 5x 5

268:2x 2x 67

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 5 = 20

Therefore, the value for common factors is 20.

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 = 7471170000/(1x20)

LCM = 7471170000/20

LCM = 373558500

Thus, we can understand that the LCM of 826,135,250,268 is 373558500.

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

• LCM of 329, 879, 102, 298
• LCM of 338, 504, 289, 841
• LCM of 769, 727, 137, 141
• LCM of 452, 210, 172, 549
• LCM of 883, 595, 376, 898

1. What is the LCM of 826, 135, 250, 268?

Answer: LCM of 826, 135, 250, 268 is 373558500.

2. How to calculate the LCM of 826, 135, 250, 268?

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 826, 135, 250, 268.

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}.