Given numbers are 945,286,491,331,689

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

The LCM of 945,286,491,331,689 is 2328001185510.

Find LCM of 945,286,491,331,689 with Prime Factorization

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

13 x 945 x 22 x 491 x 331 x 53 = 2328001185510

Therefore, the lowest common multiple of 945,286,491,331,689 is 2328001185510.

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.

945 x 286 x 491 x 331 x 689 = 30264015411630

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

286 : 1, 2, 11, 13, 22, 26, 143, 286

491 : 1, 491

331 : 1, 331

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,286,491,331,689, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

286:2x 11x 13

491:491

331:331

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.

13 = 13

Therefore, the value for common factors is 13.

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 = 30264015411630/(1x13)

LCM = 30264015411630/13

LCM = 2328001185510

Thus, we can understand that the LCM of 945,286,491,331,689 is 2328001185510.

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

• LCM of 692, 301, 152, 328, 893
• LCM of 662, 894, 685, 170, 924
• LCM of 495, 376, 897, 825, 105
• LCM of 129, 986, 932, 286, 107
• LCM of 775, 776, 255, 780, 157

1. What is the LCM of 945, 286, 491, 331, 689?

Answer: LCM of 945, 286, 491, 331, 689 is 2328001185510.

2. How to calculate the LCM of 945, 286, 491, 331, 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 945, 286, 491, 331, 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}.