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LCM of 209, 664, 146, 146, 498

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


Find the LCM of 209, 664, 146, 146, 498 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 209, 664, 146, 146, 498. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,664,146,146,498

Given numbers are 209,664,146,146,498

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

The LCM of 209,664,146,146,498 is 30391944.

Find LCM of 209,664,146,146,498 with Prime Factorization


2 209, 664, 146, 146, 498
73 209, 332, 73, 73, 249
83 209, 332, 1, 1, 249
209, 4, 1, 1, 3

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

2 x 73 x 83 x 209 x 4 x 1 x 1 x 3 = 30391944

Therefore, the lowest common multiple of 209,664,146,146,498 is 30391944.

LCM Formula to Find Lowest Common Multiple of 209,664,146,146,498

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.

209 x 664 x 146 x 146 x 498 = 1473158309568

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.

209 : 1, 11, 19, 209

664 : 1, 2, 4, 8, 83, 166, 332, 664

146 : 1, 2, 73, 146

146 : 1, 2, 73, 146

498 : 1, 2, 3, 6, 83, 166, 249, 498

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,664,146,146,498, is 1.

Now, the common factors can be found like this.

209:11x 19

664:2x 2x 2x 83

146:2x 73

146:2x 73

498:2x 3x 83

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 2x 73x 83 = 48472

Therefore, the value for common factors is 48472.

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 = 1473158309568/(1x48472)

LCM = 1473158309568/48472

LCM = 30391944

Thus, we can understand that the LCM of 209,664,146,146,498 is 30391944.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 664, 146, 146, 498

1. What is the LCM of 209, 664, 146, 146, 498?

Answer: LCM of 209, 664, 146, 146, 498 is 30391944.

2. How to calculate the LCM of 209, 664, 146, 146, 498?

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 209, 664, 146, 146, 498.

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}.