Given numbers are 540,550,212,524,958

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

The LCM of 540,550,212,524,958 is 98773200900.

Find LCM of 540,550,212,524,958 with Prime Factorization

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

2 x 2 x 5 x 27 x 55 x 53 x 131 x 479 = 98773200900

Therefore, the lowest common multiple of 540,550,212,524,958 is 98773200900.

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 550 x 212 x 524 x 958 = 31607424288000

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

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

212 : 1, 2, 4, 53, 106, 212

524 : 1, 2, 4, 131, 262, 524

958 : 1, 2, 479, 958

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,550,212,524,958, is 2.

Now, the common factors can be found like this.

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

550:2x 5x 5x 11

212:2x 2x 53

524:2x 2x 131

958:2x 479

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 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 31607424288000/(2x160)

LCM = 31607424288000/320

LCM = 98773200900

Thus, we can understand that the LCM of 540,550,212,524,958 is 98773200900.

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

• LCM of 265, 263, 814, 511, 175
• LCM of 469, 549, 309, 306, 515
• LCM of 393, 992, 903, 803, 829
• LCM of 429, 826, 912, 232, 275
• LCM of 270, 783, 917, 256, 886

1. What is the LCM of 540, 550, 212, 524, 958?

Answer: LCM of 540, 550, 212, 524, 958 is 98773200900.

2. How to calculate the LCM of 540, 550, 212, 524, 958?

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, 550, 212, 524, 958.

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}.