Given numbers are 457,692,300,226

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

The LCM of 457,692,300,226 is 2680167900.

Find LCM of 457,692,300,226 with Prime Factorization

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

2 x 2 x 457 x 173 x 75 x 113 = 2680167900

Therefore, the lowest common multiple of 457,692,300,226 is 2680167900.

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.

457 x 692 x 300 x 226 = 21441343200

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.

457 : 1, 457

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

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,692,300,226, is 1.

Now, the common factors can be found like this.

457:457

692:2x 2x 173

300:2x 2x 3x 5x 5

226:2x 113

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 = 21441343200/(1x8)

LCM = 21441343200/8

LCM = 2680167900

Thus, we can understand that the LCM of 457,692,300,226 is 2680167900.

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

• LCM of 255, 308, 479, 120
• LCM of 595, 103, 303, 718
• LCM of 775, 710, 912, 479
• LCM of 982, 480, 665, 511
• LCM of 353, 172, 127, 111

1. What is the LCM of 457, 692, 300, 226?

Answer: LCM of 457, 692, 300, 226 is 2680167900.

2. How to calculate the LCM of 457, 692, 300, 226?

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 457, 692, 300, 226.

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}.