Given numbers are 678,428,688,349

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

The LCM of 678,428,688,349 is 8709582576.

Find LCM of 678,428,688,349 with Prime Factorization

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

2 x 2 x 339 x 107 x 172 x 349 = 8709582576

Therefore, the lowest common multiple of 678,428,688,349 is 8709582576.

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.

678 x 428 x 688 x 349 = 69676660608

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

428 : 1, 2, 4, 107, 214, 428

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

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,428,688,349, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

428:2x 2x 107

688:2x 2x 2x 2x 43

349:349

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 = 69676660608/(1x8)

LCM = 69676660608/8

LCM = 8709582576

Thus, we can understand that the LCM of 678,428,688,349 is 8709582576.

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

• LCM of 513, 262, 272, 273
• LCM of 185, 332, 359, 863
• LCM of 120, 645, 212, 340
• LCM of 544, 751, 762, 139
• LCM of 322, 164, 753, 378

1. What is the LCM of 678, 428, 688, 349?

Answer: LCM of 678, 428, 688, 349 is 8709582576.

2. How to calculate the LCM of 678, 428, 688, 349?

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 678, 428, 688, 349.

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}.