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LCM of 269, 964, 349, 986

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


Find the LCM of 269, 964, 349, 986 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 269, 964, 349, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 269,964,349,986

Given numbers are 269,964,349,986

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

The LCM of 269,964,349,986 is 44617133012.

Find LCM of 269,964,349,986 with Prime Factorization


2 269, 964, 349, 986
269, 482, 349, 493

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

2 x 269 x 482 x 349 x 493 = 44617133012

Therefore, the lowest common multiple of 269,964,349,986 is 44617133012.

LCM Formula to Find Lowest Common Multiple of 269,964,349,986

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.

269 x 964 x 349 x 986 = 89234266024

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.

269 : 1, 269

964 : 1, 2, 4, 241, 482, 964

349 : 1, 349

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,964,349,986, is 1.

Now, the common factors can be found like this.

269:269

964:2x 2x 241

349:349

986:2x 17x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 89234266024/(1x2)

LCM = 89234266024/2

LCM = 44617133012

Thus, we can understand that the LCM of 269,964,349,986 is 44617133012.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 269, 964, 349, 986

1. What is the LCM of 269, 964, 349, 986?

Answer: LCM of 269, 964, 349, 986 is 44617133012.

2. How to calculate the LCM of 269, 964, 349, 986?

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 269, 964, 349, 986.

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}.