Given numbers are 757,380,953,312,306

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

The LCM of 757,380,953,312,306 is 1090528840440.

Find LCM of 757,380,953,312,306 with Prime Factorization

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

2 x 2 x 3 x 757 x 95 x 953 x 26 x 51 = 1090528840440

Therefore, the lowest common multiple of 757,380,953,312,306 is 1090528840440.

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.

757 x 380 x 953 x 312 x 306 = 26172692170560

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.

757 : 1, 757

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

953 : 1, 953

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,380,953,312,306, is 1.

Now, the common factors can be found like this.

757:757

380:2x 2x 5x 19

953:953

312:2x 2x 2x 3x 13

306:2x 3x 3x 17

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 3 = 24

Therefore, the value for common factors is 24.

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 = 26172692170560/(1x24)

LCM = 26172692170560/24

LCM = 1090528840440

Thus, we can understand that the LCM of 757,380,953,312,306 is 1090528840440.

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

• LCM of 311, 305, 622, 524, 985
• LCM of 788, 967, 195, 372, 560
• LCM of 233, 326, 529, 140, 783
• LCM of 461, 607, 169, 450, 749
• LCM of 810, 781, 471, 251, 144

1. What is the LCM of 757, 380, 953, 312, 306?

Answer: LCM of 757, 380, 953, 312, 306 is 1090528840440.

2. How to calculate the LCM of 757, 380, 953, 312, 306?

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 757, 380, 953, 312, 306.

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}.