Given numbers are 450,544,880,946,689

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

The LCM of 450,544,880,946,689 is 39889792800.

Find LCM of 450,544,880,946,689 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 11 x 45 x 34 x 1 x 43 x 689 = 39889792800

Therefore, the lowest common multiple of 450,544,880,946,689 is 39889792800.

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.

450 x 544 x 880 x 946 x 689 = 140412070656000

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.

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

946 : 1, 2, 11, 22, 43, 86, 473, 946

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,544,880,946,689, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

544:2x 2x 2x 2x 2x 17

880:2x 2x 2x 2x 5x 11

946:2x 11x 43

689:13x 53

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 2x 2x 5x 11 = 3520

Therefore, the value for common factors is 3520.

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 = 140412070656000/(1x3520)

LCM = 140412070656000/3520

LCM = 39889792800

Thus, we can understand that the LCM of 450,544,880,946,689 is 39889792800.

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

• LCM of 402, 171, 160, 684, 758
• LCM of 153, 898, 139, 672, 599
• LCM of 395, 916, 751, 940, 445
• LCM of 383, 186, 543, 941, 525
• LCM of 362, 652, 594, 292, 770

1. What is the LCM of 450, 544, 880, 946, 689?

Answer: LCM of 450, 544, 880, 946, 689 is 39889792800.

2. How to calculate the LCM of 450, 544, 880, 946, 689?

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 450, 544, 880, 946, 689.

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}.