Given numbers are 689,137,414,278,761

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

The LCM of 689,137,414,278,761 is 4133706018858.

Find LCM of 689,137,414,278,761 with Prime Factorization

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

2 x 689 x 137 x 207 x 139 x 761 = 4133706018858

Therefore, the lowest common multiple of 689,137,414,278,761 is 4133706018858.

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.

689 x 137 x 414 x 278 x 761 = 8267412037716

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.

689 : 1, 13, 53, 689

137 : 1, 137

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

278 : 1, 2, 139, 278

761 : 1, 761

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,137,414,278,761, is 1.

Now, the common factors can be found like this.

689:13x 53

137:137

414:2x 3x 3x 23

278:2x 139

761:761

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 8267412037716/(1x2)

LCM = 8267412037716/2

LCM = 4133706018858

Thus, we can understand that the LCM of 689,137,414,278,761 is 4133706018858.

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

• LCM of 681, 477, 996, 834, 864
• LCM of 719, 716, 103, 663, 941
• LCM of 312, 199, 906, 165, 330
• LCM of 144, 664, 981, 507, 139
• LCM of 291, 524, 900, 613, 808

1. What is the LCM of 689, 137, 414, 278, 761?

Answer: LCM of 689, 137, 414, 278, 761 is 4133706018858.

2. How to calculate the LCM of 689, 137, 414, 278, 761?

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 689, 137, 414, 278, 761.

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}.