Given numbers are 429,308,869,743

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

The LCM of 429,308,869,743 is 705068364.

Find LCM of 429,308,869,743 with Prime Factorization

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

11 x 39 x 28 x 79 x 743 = 705068364

Therefore, the lowest common multiple of 429,308,869,743 is 705068364.

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 308 x 869 x 743 = 85313272044

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

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

869 : 1, 11, 79, 869

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,308,869,743, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

308:2x 2x 7x 11

869:11x 79

743:743

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 85313272044/(1x121)

LCM = 85313272044/121

LCM = 705068364

Thus, we can understand that the LCM of 429,308,869,743 is 705068364.

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

• LCM of 498, 591, 174, 469
• LCM of 849, 275, 761, 525
• LCM of 376, 585, 854, 225
• LCM of 247, 860, 606, 821
• LCM of 180, 744, 824, 727

1. What is the LCM of 429, 308, 869, 743?

Answer: LCM of 429, 308, 869, 743 is 705068364.

2. How to calculate the LCM of 429, 308, 869, 743?

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, 308, 869, 743.

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}.