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LCM of 212, 313, 145, 551

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


Find the LCM of 212, 313, 145, 551 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 212, 313, 145, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 212,313,145,551

Given numbers are 212,313,145,551

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

The LCM of 212,313,145,551 is 182810780.

Find LCM of 212,313,145,551 with Prime Factorization


29 212, 313, 145, 551
212, 313, 5, 19

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

29 x 212 x 313 x 5 x 19 = 182810780

Therefore, the lowest common multiple of 212,313,145,551 is 182810780.

LCM Formula to Find Lowest Common Multiple of 212,313,145,551

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.

212 x 313 x 145 x 551 = 5301512620

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.

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

313 : 1, 313

145 : 1, 5, 29, 145

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,313,145,551, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

313:313

145:5x 29

551:19x 29

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

29 = 29

Therefore, the value for common factors is 29.

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 = 5301512620/(1x29)

LCM = 5301512620/29

LCM = 182810780

Thus, we can understand that the LCM of 212,313,145,551 is 182810780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 212, 313, 145, 551

1. What is the LCM of 212, 313, 145, 551?

Answer: LCM of 212, 313, 145, 551 is 182810780.

2. How to calculate the LCM of 212, 313, 145, 551?

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 212, 313, 145, 551.

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}.