Given numbers are 735,849,429

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

The LCM of 735,849,429 is 29744715.

Find LCM of 735,849,429 with Prime Factorization

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

3 x 245 x 283 x 143 = 29744715

Therefore, the lowest common multiple of 735,849,429 is 29744715.

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.

735 x 849 x 429 = 267702435

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

849 : 1, 3, 283, 849

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,849,429, is 3.

Now, the common factors can be found like this.

735:3x 5x 7x 7

849:3x 283

429:3x 11x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 267702435/(3x3)

LCM = 267702435/9

LCM = 29744715

Thus, we can understand that the LCM of 735,849,429 is 29744715.

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

• LCM of 862, 263, 506
• LCM of 454, 220, 665
• LCM of 119, 737, 688
• LCM of 909, 516, 196
• LCM of 839, 635, 535

1. What is the LCM of 735, 849, 429?

Answer: LCM of 735, 849, 429 is 29744715.

2. How to calculate the LCM of 735, 849, 429?

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 735, 849, 429.

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}.