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LCM of 269, 634, 684, 666

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


Find the LCM of 269, 634, 684, 666 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, 634, 684, 666. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 269,634,684,666

Given numbers are 269,634,684,666

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

The LCM of 269,634,684,666 is 2158089084.

Find LCM of 269,634,684,666 with Prime Factorization


2 269, 634, 684, 666
3 269, 317, 342, 333
3 269, 317, 114, 111
269, 317, 38, 37

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

2 x 3 x 3 x 269 x 317 x 38 x 37 = 2158089084

Therefore, the lowest common multiple of 269,634,684,666 is 2158089084.

LCM Formula to Find Lowest Common Multiple of 269,634,684,666

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 634 x 684 x 666 = 77691207024

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

634 : 1, 2, 317, 634

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,634,684,666, is 1.

Now, the common factors can be found like this.

269:269

634:2x 317

684:2x 2x 3x 3x 19

666:2x 3x 3x 37

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

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 77691207024/(1x36)

LCM = 77691207024/36

LCM = 2158089084

Thus, we can understand that the LCM of 269,634,684,666 is 2158089084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 269, 634, 684, 666

1. What is the LCM of 269, 634, 684, 666?

Answer: LCM of 269, 634, 684, 666 is 2158089084.

2. How to calculate the LCM of 269, 634, 684, 666?

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, 634, 684, 666.

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}.