Given numbers are 780,254,306,361

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

The LCM of 780,254,306,361 is 1823793660.

Find LCM of 780,254,306,361 with Prime Factorization

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

2 x 3 x 130 x 127 x 51 x 361 = 1823793660

Therefore, the lowest common multiple of 780,254,306,361 is 1823793660.

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.

780 x 254 x 306 x 361 = 21885523920

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.

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

254 : 1, 2, 127, 254

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,254,306,361, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

254:2x 127

306:2x 3x 3x 17

361:19x 19

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 3 = 12

Therefore, the value for common factors is 12.

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 = 21885523920/(1x12)

LCM = 21885523920/12

LCM = 1823793660

Thus, we can understand that the LCM of 780,254,306,361 is 1823793660.

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

• LCM of 100, 727, 878, 796
• LCM of 932, 729, 633, 892
• LCM of 580, 228, 656, 921
• LCM of 612, 151, 624, 262
• LCM of 903, 191, 146, 172

1. What is the LCM of 780, 254, 306, 361?

Answer: LCM of 780, 254, 306, 361 is 1823793660.

2. How to calculate the LCM of 780, 254, 306, 361?

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 780, 254, 306, 361.

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}.