Given numbers are 762,368,930,546

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

The LCM of 762,368,930,546 is 1977633840.

Find LCM of 762,368,930,546 with Prime Factorization

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

2 x 3 x 127 x 184 x 155 x 91 = 1977633840

Therefore, the lowest common multiple of 762,368,930,546 is 1977633840.

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.

762 x 368 x 930 x 546 = 142389636480

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,368,930,546, is 2.

Now, the common factors can be found like this.

762:2x 3x 127

368:2x 2x 2x 2x 23

930:2x 3x 5x 31

546:2x 3x 7x 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 3 = 36

Therefore, the value for common factors is 36.

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 = 142389636480/(2x36)

LCM = 142389636480/72

LCM = 1977633840

Thus, we can understand that the LCM of 762,368,930,546 is 1977633840.

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

• LCM of 771, 829, 877, 987
• LCM of 282, 621, 413, 623
• LCM of 719, 904, 564, 721
• LCM of 881, 816, 956, 767
• LCM of 239, 223, 179, 362

1. What is the LCM of 762, 368, 930, 546?

Answer: LCM of 762, 368, 930, 546 is 1977633840.

2. How to calculate the LCM of 762, 368, 930, 546?

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 762, 368, 930, 546.

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}.