Given numbers are 756,364,838,727,518

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

The LCM of 756,364,838,727,518 is 110768252868.

Find LCM of 756,364,838,727,518 with Prime Factorization

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

2 x 2 x 7 x 27 x 13 x 419 x 727 x 37 = 110768252868

Therefore, the lowest common multiple of 756,364,838,727,518 is 110768252868.

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.

756 x 364 x 838 x 727 x 518 = 86842310248512

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

838 : 1, 2, 419, 838

727 : 1, 727

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,364,838,727,518, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

364:2x 2x 7x 13

838:2x 419

727:727

518:2x 7x 37

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 2x 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 86842310248512/(1x784)

LCM = 86842310248512/784

LCM = 110768252868

Thus, we can understand that the LCM of 756,364,838,727,518 is 110768252868.

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

• LCM of 417, 976, 366, 548, 461
• LCM of 904, 993, 985, 467, 846
• LCM of 951, 690, 729, 994, 546
• LCM of 369, 531, 205, 257, 344
• LCM of 232, 670, 899, 581, 439

1. What is the LCM of 756, 364, 838, 727, 518?

Answer: LCM of 756, 364, 838, 727, 518 is 110768252868.

2. How to calculate the LCM of 756, 364, 838, 727, 518?

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 756, 364, 838, 727, 518.

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}.