Given numbers are 460,557,860,107

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

The LCM of 460,557,860,107 is 1178868220.

Find LCM of 460,557,860,107 with Prime Factorization

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

2 x 2 x 5 x 23 x 557 x 43 x 107 = 1178868220

Therefore, the lowest common multiple of 460,557,860,107 is 1178868220.

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 557 x 860 x 107 = 23577364400

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

557 : 1, 557

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,557,860,107, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

557:557

860:2x 2x 5x 43

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 = 23577364400/(1x20)

LCM = 23577364400/20

LCM = 1178868220

Thus, we can understand that the LCM of 460,557,860,107 is 1178868220.

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

• LCM of 698, 318, 714, 936
• LCM of 978, 981, 804, 888
• LCM of 107, 853, 256, 826
• LCM of 923, 883, 954, 850
• LCM of 496, 271, 949, 141

1. What is the LCM of 460, 557, 860, 107?

Answer: LCM of 460, 557, 860, 107 is 1178868220.

2. How to calculate the LCM of 460, 557, 860, 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 460, 557, 860, 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}.