Given numbers are 542,312,551,13

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

The LCM of 542,312,551,13 is 46588152.

Find LCM of 542,312,551,13 with Prime Factorization

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

2 x 13 x 271 x 12 x 551 x 1 = 46588152

Therefore, the lowest common multiple of 542,312,551,13 is 46588152.

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 312 x 551 x 13 = 1211291952

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

551 : 1, 19, 29, 551

13 : 1, 13

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,312,551,13, is 1.

Now, the common factors can be found like this.

542:2x 271

312:2x 2x 2x 3x 13

551:19x 29

13:13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 1211291952/(1x26)

LCM = 1211291952/26

LCM = 46588152

Thus, we can understand that the LCM of 542,312,551,13 is 46588152.

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

• LCM of 276, 806, 351, 77
• LCM of 890, 659, 613, 96
• LCM of 574, 915, 585, 38
• LCM of 521, 478, 947, 38
• LCM of 538, 836, 291, 70

1. What is the LCM of 542, 312, 551, 13?

Answer: LCM of 542, 312, 551, 13 is 46588152.

2. How to calculate the LCM of 542, 312, 551, 13?

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, 312, 551, 13.

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}.