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LCM of 473, 256, 465, 760, 596

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


Find the LCM of 473, 256, 465, 760, 596 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 473, 256, 465, 760, 596. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,256,465,760,596

Given numbers are 473,256,465,760,596

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

The LCM of 473,256,465,760,596 is 159402059520.

Find LCM of 473,256,465,760,596 with Prime Factorization


2 473, 256, 465, 760, 596
2 473, 128, 465, 380, 298
2 473, 64, 465, 190, 149
5 473, 32, 465, 95, 149
473, 32, 93, 19, 149

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

2 x 2 x 2 x 5 x 473 x 32 x 93 x 19 x 149 = 159402059520

Therefore, the lowest common multiple of 473,256,465,760,596 is 159402059520.

LCM Formula to Find Lowest Common Multiple of 473,256,465,760,596

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.

473 x 256 x 465 x 760 x 596 = 25504329523200

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.

473 : 1, 11, 43, 473

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

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

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,256,465,760,596, is 1.

Now, the common factors can be found like this.

473:11x 43

256:2x 2x 2x 2x 2x 2x 2x 2

465:3x 5x 31

760:2x 2x 2x 5x 19

596:2x 2x 149

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 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 25504329523200/(1x160)

LCM = 25504329523200/160

LCM = 159402059520

Thus, we can understand that the LCM of 473,256,465,760,596 is 159402059520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 256, 465, 760, 596

1. What is the LCM of 473, 256, 465, 760, 596?

Answer: LCM of 473, 256, 465, 760, 596 is 159402059520.

2. How to calculate the LCM of 473, 256, 465, 760, 596?

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 473, 256, 465, 760, 596.

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}.