Given numbers are 578,700,226,268

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

The LCM of 578,700,226,268 is 1531613300.

Find LCM of 578,700,226,268 with Prime Factorization

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

2 x 2 x 289 x 175 x 113 x 67 = 1531613300

Therefore, the lowest common multiple of 578,700,226,268 is 1531613300.

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.

578 x 700 x 226 x 268 = 24505812800

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.

578 : 1, 2, 17, 34, 289, 578

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

226 : 1, 2, 113, 226

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,700,226,268, is 2.

Now, the common factors can be found like this.

578:2x 17x 17

700:2x 2x 5x 5x 7

226:2x 113

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 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 = 24505812800/(2x8)

LCM = 24505812800/16

LCM = 1531613300

Thus, we can understand that the LCM of 578,700,226,268 is 1531613300.

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

• LCM of 160, 162, 764, 673
• LCM of 519, 435, 900, 911
• LCM of 635, 355, 764, 900
• LCM of 511, 248, 619, 944
• LCM of 639, 955, 413, 858

1. What is the LCM of 578, 700, 226, 268?

Answer: LCM of 578, 700, 226, 268 is 1531613300.

2. How to calculate the LCM of 578, 700, 226, 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 578, 700, 226, 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}.