Given numbers are 429,406,497,532,728

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

The LCM of 429,406,497,532,728 is 939842904.

Find LCM of 429,406,497,532,728 with Prime Factorization

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

2 x 2 x 7 x 13 x 33 x 29 x 71 x 19 x 2 = 939842904

Therefore, the lowest common multiple of 429,406,497,532,728 is 939842904.

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 406 x 497 x 532 x 728 = 33526076071488

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

497 : 1, 7, 71, 497

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,406,497,532,728, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

406:2x 7x 29

497:7x 71

532:2x 2x 7x 19

728:2x 2x 2x 7x 13

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 2x 7x 7x 7x 13 = 35672

Therefore, the value for common factors is 35672.

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 = 33526076071488/(1x35672)

LCM = 33526076071488/35672

LCM = 939842904

Thus, we can understand that the LCM of 429,406,497,532,728 is 939842904.

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

• LCM of 860, 463, 951, 340, 624
• LCM of 126, 598, 346, 250, 406
• LCM of 504, 682, 748, 943, 757
• LCM of 541, 721, 616, 798, 374
• LCM of 412, 400, 441, 254, 607

1. What is the LCM of 429, 406, 497, 532, 728?

Answer: LCM of 429, 406, 497, 532, 728 is 939842904.

2. How to calculate the LCM of 429, 406, 497, 532, 728?

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, 406, 497, 532, 728.

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}.