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LCM of 753, 306, 291, 212

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


Find the LCM of 753, 306, 291, 212 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 753, 306, 291, 212. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 753,306,291,212

Given numbers are 753,306,291,212

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

The LCM of 753,306,291,212 is 789719292.

Find LCM of 753,306,291,212 with Prime Factorization


2 753, 306, 291, 212
3 753, 153, 291, 106
251, 51, 97, 106

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

2 x 3 x 251 x 51 x 97 x 106 = 789719292

Therefore, the lowest common multiple of 753,306,291,212 is 789719292.

LCM Formula to Find Lowest Common Multiple of 753,306,291,212

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.

753 x 306 x 291 x 212 = 14214947256

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.

753 : 1, 3, 251, 753

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

291 : 1, 3, 97, 291

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,306,291,212, is 1.

Now, the common factors can be found like this.

753:3x 251

306:2x 3x 3x 17

291:3x 97

212:2x 2x 53

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 14214947256/(1x18)

LCM = 14214947256/18

LCM = 789719292

Thus, we can understand that the LCM of 753,306,291,212 is 789719292.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 753, 306, 291, 212

1. What is the LCM of 753, 306, 291, 212?

Answer: LCM of 753, 306, 291, 212 is 789719292.

2. How to calculate the LCM of 753, 306, 291, 212?

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 753, 306, 291, 212.

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}.