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LCM of 153, 468, 771, 832

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


Find the LCM of 153, 468, 771, 832 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, 468, 771, 832. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 153,468,771,832

Given numbers are 153,468,771,832

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

The LCM of 153,468,771,832 is 32715072.

Find LCM of 153,468,771,832 with Prime Factorization


2 153, 468, 771, 832
2 153, 234, 771, 416
3 153, 117, 771, 208
3 51, 39, 257, 208
13 17, 13, 257, 208
17, 1, 257, 16

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

2 x 2 x 3 x 3 x 13 x 17 x 1 x 257 x 16 = 32715072

Therefore, the lowest common multiple of 153,468,771,832 is 32715072.

LCM Formula to Find Lowest Common Multiple of 153,468,771,832

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 468 x 771 x 832 = 45931961088

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

771 : 1, 3, 257, 771

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,468,771,832, is 1.

Now, the common factors can be found like this.

153:3x 3x 17

468:2x 2x 3x 3x 13

771:3x 257

832:2x 2x 2x 2x 2x 2x 13

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 3x 13 = 1404

Therefore, the value for common factors is 1404.

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 = 45931961088/(1x1404)

LCM = 45931961088/1404

LCM = 32715072

Thus, we can understand that the LCM of 153,468,771,832 is 32715072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 153, 468, 771, 832

1. What is the LCM of 153, 468, 771, 832?

Answer: LCM of 153, 468, 771, 832 is 32715072.

2. How to calculate the LCM of 153, 468, 771, 832?

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, 468, 771, 832.

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}.