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LCM of 748, 209, 209, 417

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


Find the LCM of 748, 209, 209, 417 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 748, 209, 209, 417. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,209,209,417

Given numbers are 748,209,209,417

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

The LCM of 748,209,209,417 is 5926404.

Find LCM of 748,209,209,417 with Prime Factorization


11 748, 209, 209, 417
19 68, 19, 19, 417
68, 1, 1, 417

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

11 x 19 x 68 x 1 x 1 x 417 = 5926404

Therefore, the lowest common multiple of 748,209,209,417 is 5926404.

LCM Formula to Find Lowest Common Multiple of 748,209,209,417

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.

748 x 209 x 209 x 417 = 13624802796

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.

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

209 : 1, 11, 19, 209

209 : 1, 11, 19, 209

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,209,209,417, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

209:11x 19

209:11x 19

417:3x 139

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

11x 11x 19 = 2299

Therefore, the value for common factors is 2299.

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 = 13624802796/(1x2299)

LCM = 13624802796/2299

LCM = 5926404

Thus, we can understand that the LCM of 748,209,209,417 is 5926404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 209, 209, 417

1. What is the LCM of 748, 209, 209, 417?

Answer: LCM of 748, 209, 209, 417 is 5926404.

2. How to calculate the LCM of 748, 209, 209, 417?

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 748, 209, 209, 417.

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}.