Given numbers are 542,404,314

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

The LCM of 542,404,314 is 17188988.

Find LCM of 542,404,314 with Prime Factorization

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

2 x 271 x 202 x 157 = 17188988

Therefore, the lowest common multiple of 542,404,314 is 17188988.

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 404 x 314 = 68755952

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

404 : 1, 2, 4, 101, 202, 404

314 : 1, 2, 157, 314

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,404,314, is 2.

Now, the common factors can be found like this.

542:2x 271

404:2x 2x 101

314:2x 157

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 = 68755952/(2x2)

LCM = 68755952/4

LCM = 17188988

Thus, we can understand that the LCM of 542,404,314 is 17188988.

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

• LCM of 272, 164, 437
• LCM of 369, 760, 211
• LCM of 317, 816, 281
• LCM of 712, 940, 173
• LCM of 511, 823, 963

1. What is the LCM of 542, 404, 314?

Answer: LCM of 542, 404, 314 is 17188988.

2. How to calculate the LCM of 542, 404, 314?

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, 404, 314.

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}.