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LCM of 319, 737, 407, 212, 185

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 319, 737, 407, 212, 185 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 319, 737, 407, 212, 185. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,737,407,212,185

Given numbers are 319,737,407,212,185

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

The LCM of 319,737,407,212,185 is 838249060.

Find LCM of 319,737,407,212,185 with Prime Factorization


11 319, 737, 407, 212, 185
37 29, 67, 37, 212, 185
29, 67, 1, 212, 5

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

11 x 37 x 29 x 67 x 1 x 212 x 5 = 838249060

Therefore, the lowest common multiple of 319,737,407,212,185 is 838249060.

LCM Formula to Find Lowest Common Multiple of 319,737,407,212,185

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.

319 x 737 x 407 x 212 x 185 = 3752841041620

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.

319 : 1, 11, 29, 319

737 : 1, 11, 67, 737

407 : 1, 11, 37, 407

212 : 1, 2, 4, 53, 106, 212

185 : 1, 5, 37, 185

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,737,407,212,185, is 1.

Now, the common factors can be found like this.

319:11x 29

737:11x 67

407:11x 37

212:2x 2x 53

185:5x 37

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

11x 11x 37 = 4477

Therefore, the value for common factors is 4477.

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 = 3752841041620/(1x4477)

LCM = 3752841041620/4477

LCM = 838249060

Thus, we can understand that the LCM of 319,737,407,212,185 is 838249060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 737, 407, 212, 185

1. What is the LCM of 319, 737, 407, 212, 185?

Answer: LCM of 319, 737, 407, 212, 185 is 838249060.

2. How to calculate the LCM of 319, 737, 407, 212, 185?

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 319, 737, 407, 212, 185.

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}.