Given numbers are 542,408,119,391

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

The LCM of 542,408,119,391 is 17801448.

Find LCM of 542,408,119,391 with Prime Factorization

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

2 x 17 x 271 x 12 x 7 x 23 = 17801448

Therefore, the lowest common multiple of 542,408,119,391 is 17801448.

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 408 x 119 x 391 = 10289236944

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

119 : 1, 7, 17, 119

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,408,119,391, is 1.

Now, the common factors can be found like this.

542:2x 271

408:2x 2x 2x 3x 17

119:7x 17

391:17x 23

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

2x 17x 17 = 578

Therefore, the value for common factors is 578.

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 = 10289236944/(1x578)

LCM = 10289236944/578

LCM = 17801448

Thus, we can understand that the LCM of 542,408,119,391 is 17801448.

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

• LCM of 424, 411, 436, 100
• LCM of 546, 401, 351, 348
• LCM of 920, 533, 460, 448
• LCM of 646, 108, 226, 695
• LCM of 863, 795, 227, 854

1. What is the LCM of 542, 408, 119, 391?

Answer: LCM of 542, 408, 119, 391 is 17801448.

2. How to calculate the LCM of 542, 408, 119, 391?

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, 408, 119, 391.

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}.