Given numbers are 689,124,258,226,418

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

The LCM of 689,124,258,226,418 is 260288719548.

Find LCM of 689,124,258,226,418 with Prime Factorization

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

2 x 689 x 62 x 129 x 113 x 209 = 260288719548

Therefore, the lowest common multiple of 689,124,258,226,418 is 260288719548.

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 124 x 258 x 226 x 418 = 2082309756384

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

124 : 1, 2, 4, 31, 62, 124

258 : 1, 2, 3, 6, 43, 86, 129, 258

226 : 1, 2, 113, 226

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,124,258,226,418, is 1.

Now, the common factors can be found like this.

689:13x 53

124:2x 2x 31

258:2x 3x 43

226:2x 113

418:2x 11x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2082309756384/(1x8)

LCM = 2082309756384/8

LCM = 260288719548

Thus, we can understand that the LCM of 689,124,258,226,418 is 260288719548.

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

• LCM of 674, 876, 455, 701, 454
• LCM of 851, 930, 993, 942, 642
• LCM of 507, 254, 782, 201, 853
• LCM of 353, 153, 130, 892, 605
• LCM of 602, 997, 225, 457, 768

1. What is the LCM of 689, 124, 258, 226, 418?

Answer: LCM of 689, 124, 258, 226, 418 is 260288719548.

2. How to calculate the LCM of 689, 124, 258, 226, 418?

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, 124, 258, 226, 418.

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}.