Given numbers are 460,214,949,757

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

The LCM of 460,214,949,757 is 35359303460.

Find LCM of 460,214,949,757 with Prime Factorization

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

2 x 230 x 107 x 949 x 757 = 35359303460

Therefore, the lowest common multiple of 460,214,949,757 is 35359303460.

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 214 x 949 x 757 = 70718606920

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

214 : 1, 2, 107, 214

949 : 1, 13, 73, 949

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,214,949,757, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

214:2x 107

949:13x 73

757:757

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 = 70718606920/(1x2)

LCM = 70718606920/2

LCM = 35359303460

Thus, we can understand that the LCM of 460,214,949,757 is 35359303460.

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

• LCM of 736, 547, 727, 313
• LCM of 470, 299, 451, 611
• LCM of 727, 797, 988, 756
• LCM of 406, 314, 256, 248
• LCM of 883, 556, 699, 705

1. What is the LCM of 460, 214, 949, 757?

Answer: LCM of 460, 214, 949, 757 is 35359303460.

2. How to calculate the LCM of 460, 214, 949, 757?

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, 214, 949, 757.

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}.