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LCM of 124, 132, 583, 644, 209

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


Find the LCM of 124, 132, 583, 644, 209 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 124, 132, 583, 644, 209. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 124,132,583,644,209

Given numbers are 124,132,583,644,209

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

The LCM of 124,132,583,644,209 is 663423684.

Find LCM of 124,132,583,644,209 with Prime Factorization


2 124, 132, 583, 644, 209
2 62, 66, 583, 322, 209
11 31, 33, 583, 161, 209
31, 3, 53, 161, 19

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

2 x 2 x 11 x 31 x 3 x 53 x 161 x 19 = 663423684

Therefore, the lowest common multiple of 124,132,583,644,209 is 663423684.

LCM Formula to Find Lowest Common Multiple of 124,132,583,644,209

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.

124 x 132 x 583 x 644 x 209 = 1284388252224

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.

124 : 1, 2, 4, 31, 62, 124

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

583 : 1, 11, 53, 583

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

209 : 1, 11, 19, 209

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 124,132,583,644,209, is 1.

Now, the common factors can be found like this.

124:2x 2x 31

132:2x 2x 3x 11

583:11x 53

644:2x 2x 7x 23

209:11x 19

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 2x 11x 11 = 1936

Therefore, the value for common factors is 1936.

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 = 1284388252224/(1x1936)

LCM = 1284388252224/1936

LCM = 663423684

Thus, we can understand that the LCM of 124,132,583,644,209 is 663423684.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 124, 132, 583, 644, 209

1. What is the LCM of 124, 132, 583, 644, 209?

Answer: LCM of 124, 132, 583, 644, 209 is 663423684.

2. How to calculate the LCM of 124, 132, 583, 644, 209?

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 124, 132, 583, 644, 209.

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}.