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LCM of 209, 748, 616, 586

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


Find the LCM of 209, 748, 616, 586 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, 748, 616, 586. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,748,616,586

Given numbers are 209,748,616,586

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

The LCM of 209,748,616,586 is 58297624.

Find LCM of 209,748,616,586 with Prime Factorization


2 209, 748, 616, 586
2 209, 374, 308, 293
11 209, 187, 154, 293
19, 17, 14, 293

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

2 x 2 x 11 x 19 x 17 x 14 x 293 = 58297624

Therefore, the lowest common multiple of 209,748,616,586 is 58297624.

LCM Formula to Find Lowest Common Multiple of 209,748,616,586

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 748 x 616 x 586 = 56432100032

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,748,616,586, is 1.

Now, the common factors can be found like this.

209:11x 19

748:2x 2x 11x 17

616:2x 2x 2x 7x 11

586:2x 293

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 56432100032/(1x968)

LCM = 56432100032/968

LCM = 58297624

Thus, we can understand that the LCM of 209,748,616,586 is 58297624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 748, 616, 586

1. What is the LCM of 209, 748, 616, 586?

Answer: LCM of 209, 748, 616, 586 is 58297624.

2. How to calculate the LCM of 209, 748, 616, 586?

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, 748, 616, 586.

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}.