Given numbers are 542,420,360,116,439

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

The LCM of 542,420,360,116,439 is 8694254520.

Find LCM of 542,420,360,116,439 with Prime Factorization

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

2 x 2 x 3 x 5 x 271 x 7 x 6 x 29 x 439 = 8694254520

Therefore, the lowest common multiple of 542,420,360,116,439 is 8694254520.

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 420 x 360 x 116 x 439 = 4173242169600

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

116 : 1, 2, 4, 29, 58, 116

439 : 1, 439

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,420,360,116,439, is 1.

Now, the common factors can be found like this.

542:2x 271

420:2x 2x 3x 5x 7

360:2x 2x 2x 3x 3x 5

116:2x 2x 29

439:439

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 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 4173242169600/(1x480)

LCM = 4173242169600/480

LCM = 8694254520

Thus, we can understand that the LCM of 542,420,360,116,439 is 8694254520.

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

• LCM of 890, 855, 622, 111, 109
• LCM of 125, 561, 721, 181, 604
• LCM of 787, 965, 667, 811, 109
• LCM of 838, 609, 159, 150, 805
• LCM of 538, 419, 795, 346, 910

1. What is the LCM of 542, 420, 360, 116, 439?

Answer: LCM of 542, 420, 360, 116, 439 is 8694254520.

2. How to calculate the LCM of 542, 420, 360, 116, 439?

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, 420, 360, 116, 439.

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}.