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LCM of 249, 135, 961, 216, 269

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


Find the LCM of 249, 135, 961, 216, 269 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 249, 135, 961, 216, 269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 249,135,961,216,269

Given numbers are 249,135,961,216,269

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

The LCM of 249,135,961,216,269 is 23172746760.

Find LCM of 249,135,961,216,269 with Prime Factorization


3 249, 135, 961, 216, 269
3 83, 45, 961, 72, 269
3 83, 15, 961, 24, 269
83, 5, 961, 8, 269

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

3 x 3 x 3 x 83 x 5 x 961 x 8 x 269 = 23172746760

Therefore, the lowest common multiple of 249,135,961,216,269 is 23172746760.

LCM Formula to Find Lowest Common Multiple of 249,135,961,216,269

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.

249 x 135 x 961 x 216 x 269 = 1876992487560

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.

249 : 1, 3, 83, 249

135 : 1, 3, 5, 9, 15, 27, 45, 135

961 : 1, 31, 961

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,135,961,216,269, is 1.

Now, the common factors can be found like this.

249:3x 83

135:3x 3x 3x 5

961:31x 31

216:2x 2x 2x 3x 3x 3

269:269

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

3x 3x 3x 3 = 81

Therefore, the value for common factors is 81.

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 = 1876992487560/(1x81)

LCM = 1876992487560/81

LCM = 23172746760

Thus, we can understand that the LCM of 249,135,961,216,269 is 23172746760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 249, 135, 961, 216, 269

1. What is the LCM of 249, 135, 961, 216, 269?

Answer: LCM of 249, 135, 961, 216, 269 is 23172746760.

2. How to calculate the LCM of 249, 135, 961, 216, 269?

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 249, 135, 961, 216, 269.

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}.