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LCM of 650, 548, 298, 819

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


Find the LCM of 650, 548, 298, 819 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 650, 548, 298, 819. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 650,548,298,819

Given numbers are 650,548,298,819

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

The LCM of 650,548,298,819 is 1671824700.

Find LCM of 650,548,298,819 with Prime Factorization


2 650, 548, 298, 819
13 325, 274, 149, 819
25, 274, 149, 63

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

2 x 13 x 25 x 274 x 149 x 63 = 1671824700

Therefore, the lowest common multiple of 650,548,298,819 is 1671824700.

LCM Formula to Find Lowest Common Multiple of 650,548,298,819

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.

650 x 548 x 298 x 819 = 86934884400

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.

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

548 : 1, 2, 4, 137, 274, 548

298 : 1, 2, 149, 298

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,548,298,819, is 1.

Now, the common factors can be found like this.

650:2x 5x 5x 13

548:2x 2x 137

298:2x 149

819:3x 3x 7x 13

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 13 = 52

Therefore, the value for common factors is 52.

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 = 86934884400/(1x52)

LCM = 86934884400/52

LCM = 1671824700

Thus, we can understand that the LCM of 650,548,298,819 is 1671824700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 650, 548, 298, 819

1. What is the LCM of 650, 548, 298, 819?

Answer: LCM of 650, 548, 298, 819 is 1671824700.

2. How to calculate the LCM of 650, 548, 298, 819?

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 650, 548, 298, 819.

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}.