Given numbers are 458,360,166,229,961

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

The LCM of 458,360,166,229,961 is 6575661720.

Find LCM of 458,360,166,229,961 with Prime Factorization

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

2 x 229 x 1 x 180 x 83 x 1 x 961 = 6575661720

Therefore, the lowest common multiple of 458,360,166,229,961 is 6575661720.

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.

458 x 360 x 166 x 229 x 961 = 6023306135520

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.

458 : 1, 2, 229, 458

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

166 : 1, 2, 83, 166

229 : 1, 229

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,360,166,229,961, is 1.

Now, the common factors can be found like this.

458:2x 229

360:2x 2x 2x 3x 3x 5

166:2x 83

229:229

961:31x 31

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 229 = 916

Therefore, the value for common factors is 916.

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 = 6023306135520/(1x916)

LCM = 6023306135520/916

LCM = 6575661720

Thus, we can understand that the LCM of 458,360,166,229,961 is 6575661720.

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

• LCM of 606, 675, 295, 546, 400
• LCM of 920, 704, 226, 200, 474
• LCM of 677, 433, 979, 628, 563
• LCM of 958, 962, 640, 113, 773
• LCM of 779, 412, 820, 993, 320

1. What is the LCM of 458, 360, 166, 229, 961?

Answer: LCM of 458, 360, 166, 229, 961 is 6575661720.

2. How to calculate the LCM of 458, 360, 166, 229, 961?

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 458, 360, 166, 229, 961.

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}.