Given numbers are 351,141,506,646

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

The LCM of 351,141,506,646 is 2696236686.

Find LCM of 351,141,506,646 with Prime Factorization

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

2 x 3 x 117 x 47 x 253 x 323 = 2696236686

Therefore, the lowest common multiple of 351,141,506,646 is 2696236686.

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.

351 x 141 x 506 x 646 = 16177420116

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

141 : 1, 3, 47, 141

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,141,506,646, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

141:3x 47

506:2x 11x 23

646:2x 17x 19

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 16177420116/(1x6)

LCM = 16177420116/6

LCM = 2696236686

Thus, we can understand that the LCM of 351,141,506,646 is 2696236686.

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

• LCM of 301, 530, 648, 396
• LCM of 863, 835, 703, 627
• LCM of 887, 238, 238, 180
• LCM of 400, 202, 571, 210
• LCM of 584, 913, 451, 972

1. What is the LCM of 351, 141, 506, 646?

Answer: LCM of 351, 141, 506, 646 is 2696236686.

2. How to calculate the LCM of 351, 141, 506, 646?

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 351, 141, 506, 646.

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}.