Given numbers are 542,720,301,305

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

The LCM of 542,720,301,305 is 3582598320.

Find LCM of 542,720,301,305 with Prime Factorization

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

2 x 5 x 271 x 72 x 301 x 61 = 3582598320

Therefore, the lowest common multiple of 542,720,301,305 is 3582598320.

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 720 x 301 x 305 = 35825983200

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

301 : 1, 7, 43, 301

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,720,301,305, is 1.

Now, the common factors can be found like this.

542:2x 271

720:2x 2x 2x 2x 3x 3x 5

301:7x 43

305:5x 61

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 35825983200/(1x10)

LCM = 35825983200/10

LCM = 3582598320

Thus, we can understand that the LCM of 542,720,301,305 is 3582598320.

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

• LCM of 477, 497, 346, 923
• LCM of 586, 961, 265, 570
• LCM of 853, 609, 867, 264
• LCM of 964, 923, 547, 917
• LCM of 111, 950, 932, 840

1. What is the LCM of 542, 720, 301, 305?

Answer: LCM of 542, 720, 301, 305 is 3582598320.

2. How to calculate the LCM of 542, 720, 301, 305?

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, 720, 301, 305.

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}.