Given numbers are 458,312,661

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

The LCM of 458,312,661 is 47227128.

Find LCM of 458,312,661 with Prime Factorization

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

2 x 229 x 156 x 661 = 47227128

Therefore, the lowest common multiple of 458,312,661 is 47227128.

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 312 x 661 = 94454256

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,312,661, is 1.

Now, the common factors can be found like this.

458:2x 229

312:2x 2x 2x 3x 13

661:661

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 = 94454256/(1x2)

LCM = 94454256/2

LCM = 47227128

Thus, we can understand that the LCM of 458,312,661 is 47227128.

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

• LCM of 978, 649, 541
• LCM of 937, 379, 235
• LCM of 900, 626, 511
• LCM of 566, 995, 267
• LCM of 325, 352, 397

1. What is the LCM of 458, 312, 661?

Answer: LCM of 458, 312, 661 is 47227128.

2. How to calculate the LCM of 458, 312, 661?

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, 312, 661.

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}.