Given numbers are 738,888,971,331,170

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

The LCM of 738,888,971,331,170 is 2983899740040.

Find LCM of 738,888,971,331,170 with Prime Factorization

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

2 x 3 x 123 x 148 x 971 x 331 x 85 = 2983899740040

Therefore, the lowest common multiple of 738,888,971,331,170 is 2983899740040.

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 888 x 971 x 331 x 170 = 35806796880480

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

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

971 : 1, 971

331 : 1, 331

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,888,971,331,170, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

888:2x 2x 2x 3x 37

971:971

331:331

170:2x 5x 17

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 = 35806796880480/(1x12)

LCM = 35806796880480/12

LCM = 2983899740040

Thus, we can understand that the LCM of 738,888,971,331,170 is 2983899740040.

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

• LCM of 429, 501, 682, 301, 657
• LCM of 822, 132, 242, 337, 230
• LCM of 183, 191, 570, 384, 969
• LCM of 226, 638, 804, 752, 825
• LCM of 505, 821, 358, 453, 959

1. What is the LCM of 738, 888, 971, 331, 170?

Answer: LCM of 738, 888, 971, 331, 170 is 2983899740040.

2. How to calculate the LCM of 738, 888, 971, 331, 170?

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, 888, 971, 331, 170.

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}.