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LCM of 666, 874, 713, 278, 189

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


Find the LCM of 666, 874, 713, 278, 189 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 666, 874, 713, 278, 189. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 666,874,713,278,189

Given numbers are 666,874,713,278,189

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

The LCM of 666,874,713,278,189 is 26336099538.

Find LCM of 666,874,713,278,189 with Prime Factorization


2 666, 874, 713, 278, 189
3 333, 437, 713, 139, 189
3 111, 437, 713, 139, 63
23 37, 437, 713, 139, 21
37, 19, 31, 139, 21

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

2 x 3 x 3 x 23 x 37 x 19 x 31 x 139 x 21 = 26336099538

Therefore, the lowest common multiple of 666,874,713,278,189 is 26336099538.

LCM Formula to Find Lowest Common Multiple of 666,874,713,278,189

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.

666 x 874 x 713 x 278 x 189 = 21806290417464

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.

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

713 : 1, 23, 31, 713

278 : 1, 2, 139, 278

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,874,713,278,189, is 1.

Now, the common factors can be found like this.

666:2x 3x 3x 37

874:2x 19x 23

713:23x 31

278:2x 139

189:3x 3x 3x 7

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 3x 23 = 828

Therefore, the value for common factors is 828.

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 = 21806290417464/(1x828)

LCM = 21806290417464/828

LCM = 26336099538

Thus, we can understand that the LCM of 666,874,713,278,189 is 26336099538.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 666, 874, 713, 278, 189

1. What is the LCM of 666, 874, 713, 278, 189?

Answer: LCM of 666, 874, 713, 278, 189 is 26336099538.

2. How to calculate the LCM of 666, 874, 713, 278, 189?

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 666, 874, 713, 278, 189.

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}.