Given numbers are 540,944,684,113

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

The LCM of 540,944,684,113 is 273613680.

Find LCM of 540,944,684,113 with Prime Factorization

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

2 x 2 x 3 x 3 x 15 x 236 x 19 x 113 = 273613680

Therefore, the lowest common multiple of 540,944,684,113 is 273613680.

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 944 x 684 x 113 = 39400369920

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

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,944,684,113, is 1.

Now, the common factors can be found like this.

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

944:2x 2x 2x 2x 59

684:2x 2x 3x 3x 19

113:113

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 39400369920/(1x144)

LCM = 39400369920/144

LCM = 273613680

Thus, we can understand that the LCM of 540,944,684,113 is 273613680.

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

• LCM of 367, 363, 945, 160
• LCM of 257, 611, 396, 527
• LCM of 922, 636, 665, 730
• LCM of 255, 112, 223, 490
• LCM of 266, 878, 118, 502

1. What is the LCM of 540, 944, 684, 113?

Answer: LCM of 540, 944, 684, 113 is 273613680.

2. How to calculate the LCM of 540, 944, 684, 113?

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, 944, 684, 113.

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}.