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LCM of 212, 609, 146, 803

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


Find the LCM of 212, 609, 146, 803 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, 609, 146, 803. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 212,609,146,803

Given numbers are 212,609,146,803

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

The LCM of 212,609,146,803 is 103673724.

Find LCM of 212,609,146,803 with Prime Factorization


2 212, 609, 146, 803
73 106, 609, 73, 803
106, 609, 1, 11

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

2 x 73 x 106 x 609 x 1 x 11 = 103673724

Therefore, the lowest common multiple of 212,609,146,803 is 103673724.

LCM Formula to Find Lowest Common Multiple of 212,609,146,803

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 609 x 146 x 803 = 15136363704

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

609 : 1, 3, 7, 21, 29, 87, 203, 609

146 : 1, 2, 73, 146

803 : 1, 11, 73, 803

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,609,146,803, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

609:3x 7x 29

146:2x 73

803:11x 73

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

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 15136363704/(1x146)

LCM = 15136363704/146

LCM = 103673724

Thus, we can understand that the LCM of 212,609,146,803 is 103673724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 212, 609, 146, 803

1. What is the LCM of 212, 609, 146, 803?

Answer: LCM of 212, 609, 146, 803 is 103673724.

2. How to calculate the LCM of 212, 609, 146, 803?

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, 609, 146, 803.

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}.