Given numbers are 738,177,370,284

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

The LCM of 738,177,370,284 is 1143848340.

Find LCM of 738,177,370,284 with Prime Factorization

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

2 x 3 x 123 x 59 x 185 x 142 = 1143848340

Therefore, the lowest common multiple of 738,177,370,284 is 1143848340.

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 177 x 370 x 284 = 13726180080

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

177 : 1, 3, 59, 177

370 : 1, 2, 5, 10, 37, 74, 185, 370

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,177,370,284, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

177:3x 59

370:2x 5x 37

284:2x 2x 71

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 3 = 12

Therefore, the value for common factors is 12.

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 = 13726180080/(1x12)

LCM = 13726180080/12

LCM = 1143848340

Thus, we can understand that the LCM of 738,177,370,284 is 1143848340.

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

• LCM of 697, 126, 767, 363
• LCM of 657, 588, 428, 775
• LCM of 106, 281, 975, 631
• LCM of 535, 144, 934, 384
• LCM of 319, 996, 409, 985

1. What is the LCM of 738, 177, 370, 284?

Answer: LCM of 738, 177, 370, 284 is 1143848340.

2. How to calculate the LCM of 738, 177, 370, 284?

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, 177, 370, 284.

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}.