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LCM of 905, 345, 153, 697, 169

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


Find the LCM of 905, 345, 153, 697, 169 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 905, 345, 153, 697, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 905,345,153,697,169

Given numbers are 905,345,153,697,169

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

The LCM of 905,345,153,697,169 is 22066751655.

Find LCM of 905,345,153,697,169 with Prime Factorization


3 905, 345, 153, 697, 169
5 905, 115, 51, 697, 169
17 181, 23, 51, 697, 169
181, 23, 3, 41, 169

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

3 x 5 x 17 x 181 x 23 x 3 x 41 x 169 = 22066751655

Therefore, the lowest common multiple of 905,345,153,697,169 is 22066751655.

LCM Formula to Find Lowest Common Multiple of 905,345,153,697,169

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.

905 x 345 x 153 x 697 x 169 = 5627021672025

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.

905 : 1, 5, 181, 905

345 : 1, 3, 5, 15, 23, 69, 115, 345

153 : 1, 3, 9, 17, 51, 153

697 : 1, 17, 41, 697

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,345,153,697,169, is 1.

Now, the common factors can be found like this.

905:5x 181

345:3x 5x 23

153:3x 3x 17

697:17x 41

169:13x 13

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

3x 5x 17 = 255

Therefore, the value for common factors is 255.

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 = 5627021672025/(1x255)

LCM = 5627021672025/255

LCM = 22066751655

Thus, we can understand that the LCM of 905,345,153,697,169 is 22066751655.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 905, 345, 153, 697, 169

1. What is the LCM of 905, 345, 153, 697, 169?

Answer: LCM of 905, 345, 153, 697, 169 is 22066751655.

2. How to calculate the LCM of 905, 345, 153, 697, 169?

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 905, 345, 153, 697, 169.

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}.