Given numbers are 540,374,212,112

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

The LCM of 540,374,212,112 is 149854320.

Find LCM of 540,374,212,112 with Prime Factorization

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

2 x 2 x 135 x 187 x 53 x 28 = 149854320

Therefore, the lowest common multiple of 540,374,212,112 is 149854320.

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 374 x 212 x 112 = 4795338240

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,374,212,112, is 2.

Now, the common factors can be found like this.

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

374:2x 11x 17

212:2x 2x 53

112:2x 2x 2x 2x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 4795338240/(2x16)

LCM = 4795338240/32

LCM = 149854320

Thus, we can understand that the LCM of 540,374,212,112 is 149854320.

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

• LCM of 524, 248, 302, 529
• LCM of 970, 846, 101, 237
• LCM of 458, 342, 571, 426
• LCM of 162, 505, 939, 326
• LCM of 819, 239, 799, 857

1. What is the LCM of 540, 374, 212, 112?

Answer: LCM of 540, 374, 212, 112 is 149854320.

2. How to calculate the LCM of 540, 374, 212, 112?

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, 374, 212, 112.

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}.