Given numbers are 727,914,506,749,278

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

The LCM of 727,914,506,749,278 is 17502405671674.

Find LCM of 727,914,506,749,278 with Prime Factorization

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

2 x 727 x 457 x 253 x 749 x 139 = 17502405671674

Therefore, the lowest common multiple of 727,914,506,749,278 is 17502405671674.

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.

727 x 914 x 506 x 749 x 278 = 70009622686696

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.

727 : 1, 727

914 : 1, 2, 457, 914

506 : 1, 2, 11, 22, 23, 46, 253, 506

749 : 1, 7, 107, 749

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,914,506,749,278, is 1.

Now, the common factors can be found like this.

727:727

914:2x 457

506:2x 11x 23

749:7x 107

278:2x 139

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 70009622686696/(1x4)

LCM = 70009622686696/4

LCM = 17502405671674

Thus, we can understand that the LCM of 727,914,506,749,278 is 17502405671674.

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

• LCM of 661, 539, 255, 434, 890
• LCM of 723, 342, 660, 797, 161
• LCM of 357, 723, 620, 500, 575
• LCM of 803, 141, 442, 327, 555
• LCM of 187, 745, 264, 182, 796

1. What is the LCM of 727, 914, 506, 749, 278?

Answer: LCM of 727, 914, 506, 749, 278 is 17502405671674.

2. How to calculate the LCM of 727, 914, 506, 749, 278?

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 727, 914, 506, 749, 278.

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}.