Given numbers are 540,355,655,616,894

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

The LCM of 540,355,655,616,894 is 115247202840.

Find LCM of 540,355,655,616,894 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 71 x 131 x 154 x 149 = 115247202840

Therefore, the lowest common multiple of 540,355,655,616,894 is 115247202840.

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.

540 x 355 x 655 x 616 x 894 = 69148321704000

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

355 : 1, 5, 71, 355

655 : 1, 5, 131, 655

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,355,655,616,894, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

355:5x 71

655:5x 131

616:2x 2x 2x 7x 11

894:2x 3x 149

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 3x 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 69148321704000/(1x600)

LCM = 69148321704000/600

LCM = 115247202840

Thus, we can understand that the LCM of 540,355,655,616,894 is 115247202840.

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

• LCM of 282, 356, 298, 503, 835
• LCM of 971, 747, 629, 128, 720
• LCM of 786, 336, 475, 469, 392
• LCM of 965, 229, 133, 643, 360
• LCM of 455, 474, 455, 707, 745

1. What is the LCM of 540, 355, 655, 616, 894?

Answer: LCM of 540, 355, 655, 616, 894 is 115247202840.

2. How to calculate the LCM of 540, 355, 655, 616, 894?

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 540, 355, 655, 616, 894.

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}.