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LCM of 1122, 5269

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


Find the LCM of 1122, 5269 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 1122, 5269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1122,5269

Given numbers are 1122,5269

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

The LCM of 1122,5269 is 537438.

Find LCM of 1122,5269 with Prime Factorization


11 1122, 5269
102, 479

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

11 x 102 x 479 = 537438

Therefore, the lowest common multiple of 1122,5269 is 537438.

LCM Formula to Find Lowest Common Multiple of 1122,5269

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.

1122 x 5269 = 5911818

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.

1122 : 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122

5269 : 1, 11, 479, 5269

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1122,5269, is 11.

Now, the common factors can be found like this.

1122:2x 3x 11x 17

5269:11x 479

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

= 1

Therefore, the value for common factors is 1.

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 = 5911818/(11x1)

LCM = 5911818/11

LCM = 537438

Thus, we can understand that the LCM of 1122,5269 is 537438.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1122, 5269

1. What is the LCM of 1122, 5269?

Answer: LCM of 1122, 5269 is 537438.

2. How to calculate the LCM of 1122, 5269?

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 1122, 5269.

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}.