Given numbers are 687,119,804,412,874

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

The LCM of 687,119,804,412,874 is 986182187844.

Find LCM of 687,119,804,412,874 with Prime Factorization

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

2 x 2 x 3 x 229 x 119 x 67 x 103 x 437 = 986182187844

Therefore, the lowest common multiple of 687,119,804,412,874 is 986182187844.

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.

687 x 119 x 804 x 412 x 874 = 23668372508256

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.

687 : 1, 3, 229, 687

119 : 1, 7, 17, 119

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

412 : 1, 2, 4, 103, 206, 412

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,119,804,412,874, is 1.

Now, the common factors can be found like this.

687:3x 229

119:7x 17

804:2x 2x 3x 67

412:2x 2x 103

874:2x 19x 23

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 = 23668372508256/(1x24)

LCM = 23668372508256/24

LCM = 986182187844

Thus, we can understand that the LCM of 687,119,804,412,874 is 986182187844.

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

• LCM of 834, 954, 811, 203, 498
• LCM of 743, 684, 461, 334, 568
• LCM of 209, 697, 671, 334, 755
• LCM of 555, 743, 554, 427, 181
• LCM of 254, 978, 831, 345, 141

1. What is the LCM of 687, 119, 804, 412, 874?

Answer: LCM of 687, 119, 804, 412, 874 is 986182187844.

2. How to calculate the LCM of 687, 119, 804, 412, 874?

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 687, 119, 804, 412, 874.

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}.