Given numbers are 540,228,193,507,838

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

The LCM of 540,228,193,507,838 is 140218525980.

Find LCM of 540,228,193,507,838 with Prime Factorization

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

2 x 2 x 3 x 45 x 19 x 193 x 169 x 419 = 140218525980

Therefore, the lowest common multiple of 540,228,193,507,838 is 140218525980.

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.

540 x 228 x 193 x 507 x 838 = 10095733870560

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

193 : 1, 193

507 : 1, 3, 13, 39, 169, 507

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,228,193,507,838, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

228:2x 2x 3x 19

193:193

507:3x 13x 13

838:2x 419

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 3 = 72

Therefore, the value for common factors is 72.

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 = 10095733870560/(1x72)

LCM = 10095733870560/72

LCM = 140218525980

Thus, we can understand that the LCM of 540,228,193,507,838 is 140218525980.

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

• LCM of 606, 176, 464, 874, 868
• LCM of 511, 904, 807, 404, 872
• LCM of 338, 284, 296, 655, 259
• LCM of 396, 729, 361, 839, 441
• LCM of 440, 221, 471, 863, 650

1. What is the LCM of 540, 228, 193, 507, 838?

Answer: LCM of 540, 228, 193, 507, 838 is 140218525980.

2. How to calculate the LCM of 540, 228, 193, 507, 838?

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 540, 228, 193, 507, 838.

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}.