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LCM of 553, 340, 181, 259, 107

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


Find the LCM of 553, 340, 181, 259, 107 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 553, 340, 181, 259, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 553,340,181,259,107

Given numbers are 553,340,181,259,107

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

The LCM of 553,340,181,259,107 is 134731183580.

Find LCM of 553,340,181,259,107 with Prime Factorization


7 553, 340, 181, 259, 107
79, 340, 181, 37, 107

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

7 x 79 x 340 x 181 x 37 x 107 = 134731183580

Therefore, the lowest common multiple of 553,340,181,259,107 is 134731183580.

LCM Formula to Find Lowest Common Multiple of 553,340,181,259,107

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.

553 x 340 x 181 x 259 x 107 = 943118285060

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.

553 : 1, 7, 79, 553

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

181 : 1, 181

259 : 1, 7, 37, 259

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,340,181,259,107, is 1.

Now, the common factors can be found like this.

553:7x 79

340:2x 2x 5x 17

181:181

259:7x 37

107:107

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

7 = 7

Therefore, the value for common factors is 7.

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 = 943118285060/(1x7)

LCM = 943118285060/7

LCM = 134731183580

Thus, we can understand that the LCM of 553,340,181,259,107 is 134731183580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 553, 340, 181, 259, 107

1. What is the LCM of 553, 340, 181, 259, 107?

Answer: LCM of 553, 340, 181, 259, 107 is 134731183580.

2. How to calculate the LCM of 553, 340, 181, 259, 107?

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 553, 340, 181, 259, 107.

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}.