Given numbers are 930,861,546,572

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

The LCM of 930,861,546,572 is 76336260.

Find LCM of 930,861,546,572 with Prime Factorization

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

2 x 3 x 7 x 13 x 155 x 41 x 1 x 22 = 76336260

Therefore, the lowest common multiple of 930,861,546,572 is 76336260.

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.

930 x 861 x 546 x 572 = 250077587760

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

861 : 1, 3, 7, 21, 41, 123, 287, 861

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,861,546,572, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

861:3x 7x 41

546:2x 3x 7x 13

572:2x 2x 11x 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 3x 3x 7x 13 = 3276

Therefore, the value for common factors is 3276.

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 = 250077587760/(1x3276)

LCM = 250077587760/3276

LCM = 76336260

Thus, we can understand that the LCM of 930,861,546,572 is 76336260.

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

• LCM of 473, 519, 642, 547
• LCM of 218, 383, 885, 601
• LCM of 909, 363, 904, 390
• LCM of 846, 733, 167, 826
• LCM of 858, 301, 430, 635

1. What is the LCM of 930, 861, 546, 572?

Answer: LCM of 930, 861, 546, 572 is 76336260.

2. How to calculate the LCM of 930, 861, 546, 572?

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 930, 861, 546, 572.

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}.