Given numbers are 310,460,242,107

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

The LCM of 310,460,242,107 is 184624220.

Find LCM of 310,460,242,107 with Prime Factorization

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

2 x 5 x 31 x 46 x 121 x 107 = 184624220

Therefore, the lowest common multiple of 310,460,242,107 is 184624220.

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.

310 x 460 x 242 x 107 = 3692484400

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

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

242 : 1, 2, 11, 22, 121, 242

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,460,242,107, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

460:2x 2x 5x 23

242:2x 11x 11

107:107

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 5 = 20

Therefore, the value for common factors is 20.

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 = 3692484400/(1x20)

LCM = 3692484400/20

LCM = 184624220

Thus, we can understand that the LCM of 310,460,242,107 is 184624220.

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

• LCM of 458, 345, 766, 911
• LCM of 629, 943, 168, 430
• LCM of 966, 336, 711, 638
• LCM of 942, 692, 923, 155
• LCM of 406, 383, 970, 644

1. What is the LCM of 310, 460, 242, 107?

Answer: LCM of 310, 460, 242, 107 is 184624220.

2. How to calculate the LCM of 310, 460, 242, 107?

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 310, 460, 242, 107.

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}.