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LCM of 209, 533, 779, 221, 119

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


Find the LCM of 209, 533, 779, 221, 119 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, 533, 779, 221, 119. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,533,779,221,119

Given numbers are 209,533,779,221,119

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

The LCM of 209,533,779,221,119 is 13256243.

Find LCM of 209,533,779,221,119 with Prime Factorization


13 209, 533, 779, 221, 119
17 209, 41, 779, 17, 119
19 209, 41, 779, 1, 7
41 11, 41, 41, 1, 7
11, 1, 1, 1, 7

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

13 x 17 x 19 x 41 x 11 x 1 x 1 x 1 x 7 = 13256243

Therefore, the lowest common multiple of 209,533,779,221,119 is 13256243.

LCM Formula to Find Lowest Common Multiple of 209,533,779,221,119

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 533 x 779 x 221 x 119 = 2282181538637

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

533 : 1, 13, 41, 533

779 : 1, 19, 41, 779

221 : 1, 13, 17, 221

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,533,779,221,119, is 1.

Now, the common factors can be found like this.

209:11x 19

533:13x 41

779:19x 41

221:13x 17

119:7x 17

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

13x 17x 19x 41 = 172159

Therefore, the value for common factors is 172159.

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 = 2282181538637/(1x172159)

LCM = 2282181538637/172159

LCM = 13256243

Thus, we can understand that the LCM of 209,533,779,221,119 is 13256243.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 533, 779, 221, 119

1. What is the LCM of 209, 533, 779, 221, 119?

Answer: LCM of 209, 533, 779, 221, 119 is 13256243.

2. How to calculate the LCM of 209, 533, 779, 221, 119?

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, 533, 779, 221, 119.

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}.