Given numbers are 686,121,460,353

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

The LCM of 686,121,460,353 is 6739257140.

Find LCM of 686,121,460,353 with Prime Factorization

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

2 x 343 x 121 x 230 x 353 = 6739257140

Therefore, the lowest common multiple of 686,121,460,353 is 6739257140.

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.

686 x 121 x 460 x 353 = 13478514280

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.

686 : 1, 2, 7, 14, 49, 98, 343, 686

121 : 1, 11, 121

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,121,460,353, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

121:11x 11

460:2x 2x 5x 23

353:353

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

2 = 2

Therefore, the value for common factors is 2.

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 = 13478514280/(1x2)

LCM = 13478514280/2

LCM = 6739257140

Thus, we can understand that the LCM of 686,121,460,353 is 6739257140.

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

• LCM of 599, 297, 648, 972
• LCM of 379, 886, 286, 618
• LCM of 875, 341, 606, 111
• LCM of 196, 709, 687, 913
• LCM of 586, 223, 597, 893

1. What is the LCM of 686, 121, 460, 353?

Answer: LCM of 686, 121, 460, 353 is 6739257140.

2. How to calculate the LCM of 686, 121, 460, 353?

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 686, 121, 460, 353.

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}.