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LCM of 171, 678, 704, 969, 465

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


Find the LCM of 171, 678, 704, 969, 465 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 171, 678, 704, 969, 465. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 171,678,704,969,465

Given numbers are 171,678,704,969,465

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

The LCM of 171,678,704,969,465 is 35844937920.

Find LCM of 171,678,704,969,465 with Prime Factorization


2 171, 678, 704, 969, 465
3 171, 339, 352, 969, 465
19 57, 113, 352, 323, 155
3, 113, 352, 17, 155

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

2 x 3 x 19 x 3 x 113 x 352 x 17 x 155 = 35844937920

Therefore, the lowest common multiple of 171,678,704,969,465 is 35844937920.

LCM Formula to Find Lowest Common Multiple of 171,678,704,969,465

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.

171 x 678 x 704 x 969 x 465 = 36776906305920

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.

171 : 1, 3, 9, 19, 57, 171

678 : 1, 2, 3, 6, 113, 226, 339, 678

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

969 : 1, 3, 17, 19, 51, 57, 323, 969

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,678,704,969,465, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

678:2x 3x 113

704:2x 2x 2x 2x 2x 2x 11

969:3x 17x 19

465:3x 5x 31

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

2x 3x 3x 3x 19 = 1026

Therefore, the value for common factors is 1026.

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 = 36776906305920/(1x1026)

LCM = 36776906305920/1026

LCM = 35844937920

Thus, we can understand that the LCM of 171,678,704,969,465 is 35844937920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 171, 678, 704, 969, 465

1. What is the LCM of 171, 678, 704, 969, 465?

Answer: LCM of 171, 678, 704, 969, 465 is 35844937920.

2. How to calculate the LCM of 171, 678, 704, 969, 465?

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 171, 678, 704, 969, 465.

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}.