Given numbers are 214,649,354,346

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

The LCM of 214,649,354,346 is 72081834.

Find LCM of 214,649,354,346 with Prime Factorization

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

2 x 59 x 107 x 11 x 3 x 173 = 72081834

Therefore, the lowest common multiple of 214,649,354,346 is 72081834.

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.

214 x 649 x 354 x 346 = 17011312824

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.

214 : 1, 2, 107, 214

649 : 1, 11, 59, 649

354 : 1, 2, 3, 6, 59, 118, 177, 354

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,649,354,346, is 1.

Now, the common factors can be found like this.

214:2x 107

649:11x 59

354:2x 3x 59

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 59 = 236

Therefore, the value for common factors is 236.

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 = 17011312824/(1x236)

LCM = 17011312824/236

LCM = 72081834

Thus, we can understand that the LCM of 214,649,354,346 is 72081834.

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

• LCM of 438, 949, 234, 226
• LCM of 740, 229, 975, 220
• LCM of 880, 789, 803, 998
• LCM of 781, 665, 865, 393
• LCM of 790, 158, 733, 108

1. What is the LCM of 214, 649, 354, 346?

Answer: LCM of 214, 649, 354, 346 is 72081834.

2. How to calculate the LCM of 214, 649, 354, 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 214, 649, 354, 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}.