Given numbers are 210,313,202,121,686

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

The LCM of 210,313,202,121,686 is 39361030170.

Find LCM of 210,313,202,121,686 with Prime Factorization

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

2 x 7 x 15 x 313 x 101 x 121 x 49 = 39361030170

Therefore, the lowest common multiple of 210,313,202,121,686 is 39361030170.

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.

210 x 313 x 202 x 121 x 686 = 1102108844760

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

313 : 1, 313

202 : 1, 2, 101, 202

121 : 1, 11, 121

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,313,202,121,686, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

313:313

202:2x 101

121:11x 11

686:2x 7x 7x 7

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 7 = 28

Therefore, the value for common factors is 28.

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 = 1102108844760/(1x28)

LCM = 1102108844760/28

LCM = 39361030170

Thus, we can understand that the LCM of 210,313,202,121,686 is 39361030170.

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

• LCM of 161, 494, 894, 681, 786
• LCM of 807, 919, 475, 406, 355
• LCM of 700, 796, 348, 501, 200
• LCM of 682, 147, 952, 690, 921
• LCM of 808, 323, 412, 187, 530

1. What is the LCM of 210, 313, 202, 121, 686?

Answer: LCM of 210, 313, 202, 121, 686 is 39361030170.

2. How to calculate the LCM of 210, 313, 202, 121, 686?

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 210, 313, 202, 121, 686.

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}.