Given numbers are 969,841,538,780,318

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

The LCM of 969,841,538,780,318 is 3020795115780.

Find LCM of 969,841,538,780,318 with Prime Factorization

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

2 x 3 x 323 x 841 x 269 x 130 x 53 = 3020795115780

Therefore, the lowest common multiple of 969,841,538,780,318 is 3020795115780.

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.

969 x 841 x 538 x 780 x 318 = 108748624168080

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

841 : 1, 29, 841

538 : 1, 2, 269, 538

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

318 : 1, 2, 3, 6, 53, 106, 159, 318

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,841,538,780,318, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

841:29x 29

538:2x 269

780:2x 2x 3x 5x 13

318:2x 3x 53

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 = 108748624168080/(1x36)

LCM = 108748624168080/36

LCM = 3020795115780

Thus, we can understand that the LCM of 969,841,538,780,318 is 3020795115780.

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

• LCM of 560, 978, 786, 573, 553
• LCM of 856, 754, 931, 262, 641
• LCM of 307, 435, 458, 789, 781
• LCM of 537, 964, 483, 623, 186
• LCM of 459, 326, 343, 770, 515

1. What is the LCM of 969, 841, 538, 780, 318?

Answer: LCM of 969, 841, 538, 780, 318 is 3020795115780.

2. How to calculate the LCM of 969, 841, 538, 780, 318?

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 969, 841, 538, 780, 318.

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}.