Given numbers are 874,311,208,860,738

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

The LCM of 874,311,208,860,738 is 2242693823760.

Find LCM of 874,311,208,860,738 with Prime Factorization

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

2 x 2 x 437 x 311 x 52 x 215 x 369 = 2242693823760

Therefore, the lowest common multiple of 874,311,208,860,738 is 2242693823760.

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.

874 x 311 x 208 x 860 x 738 = 35883101180160

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

311 : 1, 311

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,311,208,860,738, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

311:311

208:2x 2x 2x 2x 13

860:2x 2x 5x 43

738:2x 3x 3x 41

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 2 = 16

Therefore, the value for common factors is 16.

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 = 35883101180160/(1x16)

LCM = 35883101180160/16

LCM = 2242693823760

Thus, we can understand that the LCM of 874,311,208,860,738 is 2242693823760.

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

• LCM of 239, 132, 453, 526, 556
• LCM of 406, 919, 954, 539, 142
• LCM of 817, 471, 964, 912, 719
• LCM of 429, 919, 426, 677, 786
• LCM of 904, 528, 929, 444, 921

1. What is the LCM of 874, 311, 208, 860, 738?

Answer: LCM of 874, 311, 208, 860, 738 is 2242693823760.

2. How to calculate the LCM of 874, 311, 208, 860, 738?

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 874, 311, 208, 860, 738.

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}.