Given numbers are 429,319,845,461

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

The LCM of 429,319,845,461 is 372794565.

Find LCM of 429,319,845,461 with Prime Factorization

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

11 x 13 x 3 x 29 x 65 x 461 = 372794565

Therefore, the lowest common multiple of 429,319,845,461 is 372794565.

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 319 x 845 x 461 = 53309622795

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

319 : 1, 11, 29, 319

845 : 1, 5, 13, 65, 169, 845

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,319,845,461, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

319:11x 29

845:5x 13x 13

461:461

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 53309622795/(1x143)

LCM = 53309622795/143

LCM = 372794565

Thus, we can understand that the LCM of 429,319,845,461 is 372794565.

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

• LCM of 310, 767, 983, 786
• LCM of 290, 408, 590, 172
• LCM of 690, 894, 939, 476
• LCM of 769, 850, 414, 918
• LCM of 897, 572, 175, 857

1. What is the LCM of 429, 319, 845, 461?

Answer: LCM of 429, 319, 845, 461 is 372794565.

2. How to calculate the LCM of 429, 319, 845, 461?

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, 319, 845, 461.

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}.