Given numbers are 542,280,614

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

The LCM of 542,280,614 is 23295160.

Find LCM of 542,280,614 with Prime Factorization

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

2 x 271 x 140 x 307 = 23295160

Therefore, the lowest common multiple of 542,280,614 is 23295160.

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.

542 x 280 x 614 = 93180640

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.

542 : 1, 2, 271, 542

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,280,614, is 2.

Now, the common factors can be found like this.

542:2x 271

280:2x 2x 2x 5x 7

614:2x 307

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

2 = 2

Therefore, the value for common factors is 2.

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 = 93180640/(2x2)

LCM = 93180640/4

LCM = 23295160

Thus, we can understand that the LCM of 542,280,614 is 23295160.

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

• LCM of 206, 216, 651
• LCM of 134, 430, 336
• LCM of 323, 671, 773
• LCM of 970, 636, 557
• LCM of 943, 200, 989

1. What is the LCM of 542, 280, 614?

Answer: LCM of 542, 280, 614 is 23295160.

2. How to calculate the LCM of 542, 280, 614?

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 542, 280, 614.

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}.