Given numbers are 429,458,319,566

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

The LCM of 429,458,319,566 is 1612527774.

Find LCM of 429,458,319,566 with Prime Factorization

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

2 x 11 x 39 x 229 x 29 x 283 = 1612527774

Therefore, the lowest common multiple of 429,458,319,566 is 1612527774.

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.

429 x 458 x 319 x 566 = 35475611028

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

458 : 1, 2, 229, 458

319 : 1, 11, 29, 319

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,458,319,566, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

458:2x 229

319:11x 29

566:2x 283

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 35475611028/(1x22)

LCM = 35475611028/22

LCM = 1612527774

Thus, we can understand that the LCM of 429,458,319,566 is 1612527774.

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

• LCM of 858, 142, 126, 277
• LCM of 157, 995, 325, 822
• LCM of 186, 640, 134, 160
• LCM of 991, 604, 899, 753
• LCM of 764, 483, 723, 384

1. What is the LCM of 429, 458, 319, 566?

Answer: LCM of 429, 458, 319, 566 is 1612527774.

2. How to calculate the LCM of 429, 458, 319, 566?

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 429, 458, 319, 566.

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}.