Given numbers are 738,284,431,420

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

The LCM of 738,284,431,420 is 1580847660.

Find LCM of 738,284,431,420 with Prime Factorization

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

2 x 2 x 3 x 123 x 71 x 431 x 35 = 1580847660

Therefore, the lowest common multiple of 738,284,431,420 is 1580847660.

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.

738 x 284 x 431 x 420 = 37940343840

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

284 : 1, 2, 4, 71, 142, 284

431 : 1, 431

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,284,431,420, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

284:2x 2x 71

431:431

420:2x 2x 3x 5x 7

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 3 = 24

Therefore, the value for common factors is 24.

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 = 37940343840/(1x24)

LCM = 37940343840/24

LCM = 1580847660

Thus, we can understand that the LCM of 738,284,431,420 is 1580847660.

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

• LCM of 586, 480, 697, 855
• LCM of 841, 607, 873, 298
• LCM of 871, 252, 552, 455
• LCM of 893, 646, 487, 636
• LCM of 808, 182, 592, 167

1. What is the LCM of 738, 284, 431, 420?

Answer: LCM of 738, 284, 431, 420 is 1580847660.

2. How to calculate the LCM of 738, 284, 431, 420?

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 738, 284, 431, 420.

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}.