Given numbers are 725,840,214,542

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

The LCM of 725,840,214,542 is 3531834600.

Find LCM of 725,840,214,542 with Prime Factorization

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

2 x 5 x 145 x 84 x 107 x 271 = 3531834600

Therefore, the lowest common multiple of 725,840,214,542 is 3531834600.

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.

725 x 840 x 214 x 542 = 70636692000

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.

725 : 1, 5, 25, 29, 145, 725

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

214 : 1, 2, 107, 214

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,840,214,542, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

840:2x 2x 2x 3x 5x 7

214:2x 107

542:2x 271

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 5 = 20

Therefore, the value for common factors is 20.

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 = 70636692000/(1x20)

LCM = 70636692000/20

LCM = 3531834600

Thus, we can understand that the LCM of 725,840,214,542 is 3531834600.

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

• LCM of 204, 111, 248, 382
• LCM of 119, 867, 693, 912
• LCM of 427, 342, 899, 308
• LCM of 987, 914, 805, 820
• LCM of 395, 659, 417, 970

1. What is the LCM of 725, 840, 214, 542?

Answer: LCM of 725, 840, 214, 542 is 3531834600.

2. How to calculate the LCM of 725, 840, 214, 542?

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 725, 840, 214, 542.

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}.