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LCM of 108, 565, 299, 437

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


Find the LCM of 108, 565, 299, 437 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 108, 565, 299, 437. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 108,565,299,437

Given numbers are 108,565,299,437

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

The LCM of 108,565,299,437 is 346654620.

Find LCM of 108,565,299,437 with Prime Factorization


23 108, 565, 299, 437
108, 565, 13, 19

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

23 x 108 x 565 x 13 x 19 = 346654620

Therefore, the lowest common multiple of 108,565,299,437 is 346654620.

LCM Formula to Find Lowest Common Multiple of 108,565,299,437

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.

108 x 565 x 299 x 437 = 7973056260

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.

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

565 : 1, 5, 113, 565

299 : 1, 13, 23, 299

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,565,299,437, is 1.

Now, the common factors can be found like this.

108:2x 2x 3x 3x 3

565:5x 113

299:13x 23

437:19x 23

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

23 = 23

Therefore, the value for common factors is 23.

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 = 7973056260/(1x23)

LCM = 7973056260/23

LCM = 346654620

Thus, we can understand that the LCM of 108,565,299,437 is 346654620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 108, 565, 299, 437

1. What is the LCM of 108, 565, 299, 437?

Answer: LCM of 108, 565, 299, 437 is 346654620.

2. How to calculate the LCM of 108, 565, 299, 437?

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 108, 565, 299, 437.

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}.