Given numbers are 688,349,258,346

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

The LCM of 688,349,258,346 is 124618128.

Find LCM of 688,349,258,346 with Prime Factorization

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

2 x 43 x 8 x 349 x 3 x 173 = 124618128

Therefore, the lowest common multiple of 688,349,258,346 is 124618128.

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.

688 x 349 x 258 x 346 = 21434318016

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

349 : 1, 349

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

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,349,258,346, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

349:349

258:2x 3x 43

346:2x 173

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 43 = 172

Therefore, the value for common factors is 172.

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 = 21434318016/(1x172)

LCM = 21434318016/172

LCM = 124618128

Thus, we can understand that the LCM of 688,349,258,346 is 124618128.

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

• LCM of 704, 289, 773, 470
• LCM of 473, 791, 881, 729
• LCM of 802, 530, 914, 454
• LCM of 845, 833, 419, 892
• LCM of 415, 350, 112, 627

1. What is the LCM of 688, 349, 258, 346?

Answer: LCM of 688, 349, 258, 346 is 124618128.

2. How to calculate the LCM of 688, 349, 258, 346?

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 688, 349, 258, 346.

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}.