Given numbers are 460,209,121,247

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

The LCM of 460,209,121,247 is 13748020.

Find LCM of 460,209,121,247 with Prime Factorization

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

11 x 19 x 460 x 1 x 11 x 13 = 13748020

Therefore, the lowest common multiple of 460,209,121,247 is 13748020.

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.

460 x 209 x 121 x 247 = 2873336180

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.

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

209 : 1, 11, 19, 209

121 : 1, 11, 121

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,209,121,247, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

209:11x 19

121:11x 11

247:13x 19

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

11x 19 = 209

Therefore, the value for common factors is 209.

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 = 2873336180/(1x209)

LCM = 2873336180/209

LCM = 13748020

Thus, we can understand that the LCM of 460,209,121,247 is 13748020.

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

• LCM of 253, 855, 192, 547
• LCM of 544, 984, 326, 690
• LCM of 316, 526, 174, 129
• LCM of 581, 312, 115, 942
• LCM of 540, 431, 596, 122

1. What is the LCM of 460, 209, 121, 247?

Answer: LCM of 460, 209, 121, 247 is 13748020.

2. How to calculate the LCM of 460, 209, 121, 247?

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 460, 209, 121, 247.

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}.