Given numbers are 234,900,312,213

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

The LCM of 234,900,312,213 is 1661400.

Find LCM of 234,900,312,213 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 1 x 25 x 2 x 71 = 1661400

Therefore, the lowest common multiple of 234,900,312,213 is 1661400.

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.

234 x 900 x 312 x 213 = 13995633600

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

213 : 1, 3, 71, 213

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,900,312,213, is 3.

Now, the common factors can be found like this.

234:2x 3x 3x 13

900:2x 2x 3x 3x 5x 5

312:2x 2x 2x 3x 13

213:3x 71

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 2x 3x 3x 3x 13 = 2808

Therefore, the value for common factors is 2808.

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 = 13995633600/(3x2808)

LCM = 13995633600/8424

LCM = 1661400

Thus, we can understand that the LCM of 234,900,312,213 is 1661400.

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

• LCM of 670, 441, 963, 345
• LCM of 956, 174, 704, 876
• LCM of 781, 905, 894, 597
• LCM of 739, 835, 519, 177
• LCM of 974, 494, 158, 825

1. What is the LCM of 234, 900, 312, 213?

Answer: LCM of 234, 900, 312, 213 is 1661400.

2. How to calculate the LCM of 234, 900, 312, 213?

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 234, 900, 312, 213.

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}.