Given numbers are 349,528,372,780

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

The LCM of 349,528,372,780 is 371308080.

Find LCM of 349,528,372,780 with Prime Factorization

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

2 x 2 x 3 x 349 x 44 x 31 x 65 = 371308080

Therefore, the lowest common multiple of 349,528,372,780 is 371308080.

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.

349 x 528 x 372 x 780 = 53468363520

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.

349 : 1, 349

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,528,372,780, is 1.

Now, the common factors can be found like this.

349:349

528:2x 2x 2x 2x 3x 11

372:2x 2x 3x 31

780:2x 2x 3x 5x 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 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 53468363520/(1x144)

LCM = 53468363520/144

LCM = 371308080

Thus, we can understand that the LCM of 349,528,372,780 is 371308080.

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

• LCM of 424, 157, 273, 109
• LCM of 161, 276, 543, 924
• LCM of 462, 954, 635, 420
• LCM of 864, 954, 377, 709
• LCM of 820, 185, 716, 999

1. What is the LCM of 349, 528, 372, 780?

Answer: LCM of 349, 528, 372, 780 is 371308080.

2. How to calculate the LCM of 349, 528, 372, 780?

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 349, 528, 372, 780.

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}.