Given numbers are 349,142,167,512,846

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

The LCM of 349,142,167,512,846 is 896211629568.

Find LCM of 349,142,167,512,846 with Prime Factorization

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

2 x 349 x 71 x 167 x 256 x 423 = 896211629568

Therefore, the lowest common multiple of 349,142,167,512,846 is 896211629568.

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.

349 x 142 x 167 x 512 x 846 = 3584846518272

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.

349 : 1, 349

142 : 1, 2, 71, 142

167 : 1, 167

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,142,167,512,846, is 1.

Now, the common factors can be found like this.

349:349

142:2x 71

167:167

512:2x 2x 2x 2x 2x 2x 2x 2x 2

846:2x 3x 3x 47

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 3584846518272/(1x4)

LCM = 3584846518272/4

LCM = 896211629568

Thus, we can understand that the LCM of 349,142,167,512,846 is 896211629568.

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

• LCM of 627, 112, 650, 885, 836
• LCM of 488, 777, 707, 465, 603
• LCM of 445, 124, 584, 463, 926
• LCM of 419, 732, 599, 249, 594
• LCM of 162, 949, 865, 264, 549

1. What is the LCM of 349, 142, 167, 512, 846?

Answer: LCM of 349, 142, 167, 512, 846 is 896211629568.

2. How to calculate the LCM of 349, 142, 167, 512, 846?

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 349, 142, 167, 512, 846.

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}.