Given numbers are 254,225,411,312

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

The LCM of 254,225,411,312 is 407136600.

Find LCM of 254,225,411,312 with Prime Factorization

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

2 x 3 x 127 x 75 x 137 x 52 = 407136600

Therefore, the lowest common multiple of 254,225,411,312 is 407136600.

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.

254 x 225 x 411 x 312 = 7328458800

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.

254 : 1, 2, 127, 254

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

411 : 1, 3, 137, 411

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,225,411,312, is 1.

Now, the common factors can be found like this.

254:2x 127

225:3x 3x 5x 5

411:3x 137

312:2x 2x 2x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 7328458800/(1x18)

LCM = 7328458800/18

LCM = 407136600

Thus, we can understand that the LCM of 254,225,411,312 is 407136600.

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

• LCM of 579, 991, 723, 760
• LCM of 683, 727, 795, 380
• LCM of 843, 690, 645, 140
• LCM of 870, 858, 483, 850
• LCM of 734, 971, 699, 663

1. What is the LCM of 254, 225, 411, 312?

Answer: LCM of 254, 225, 411, 312 is 407136600.

2. How to calculate the LCM of 254, 225, 411, 312?

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 254, 225, 411, 312.

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}.