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LCM of 153, 408, 891, 269, 696

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


Find the LCM of 153, 408, 891, 269, 696 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 153, 408, 891, 269, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 153,408,891,269,696

Given numbers are 153,408,891,269,696

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

The LCM of 153,408,891,269,696 is 945293976.

Find LCM of 153,408,891,269,696 with Prime Factorization


2 153, 408, 891, 269, 696
2 153, 204, 891, 269, 348
2 153, 102, 891, 269, 174
3 153, 51, 891, 269, 87
3 17, 51, 297, 269, 29
17 17, 17, 99, 269, 29
1, 1, 99, 269, 29

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

2 x 2 x 2 x 3 x 3 x 17 x 1 x 1 x 99 x 269 x 29 = 945293976

Therefore, the lowest common multiple of 153,408,891,269,696 is 945293976.

LCM Formula to Find Lowest Common Multiple of 153,408,891,269,696

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.

153 x 408 x 891 x 269 x 696 = 10413358439616

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.

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

269 : 1, 269

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,408,891,269,696, is 1.

Now, the common factors can be found like this.

153:3x 3x 17

408:2x 2x 2x 3x 17

891:3x 3x 3x 3x 11

269:269

696:2x 2x 2x 3x 29

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 2x 3x 3x 3x 3x 17 = 11016

Therefore, the value for common factors is 11016.

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 = 10413358439616/(1x11016)

LCM = 10413358439616/11016

LCM = 945293976

Thus, we can understand that the LCM of 153,408,891,269,696 is 945293976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 153, 408, 891, 269, 696

1. What is the LCM of 153, 408, 891, 269, 696?

Answer: LCM of 153, 408, 891, 269, 696 is 945293976.

2. How to calculate the LCM of 153, 408, 891, 269, 696?

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 153, 408, 891, 269, 696.

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}.