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LCM of 760, 455, 876, 520, 820

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


Find the LCM of 760, 455, 876, 520, 820 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 760, 455, 876, 520, 820. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 760,455,876,520,820

Given numbers are 760,455,876,520,820

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

The LCM of 760,455,876,520,820 is 620987640.

Find LCM of 760,455,876,520,820 with Prime Factorization


2 760, 455, 876, 520, 820
2 380, 455, 438, 260, 410
2 190, 455, 219, 130, 205
5 95, 455, 219, 65, 205
13 19, 91, 219, 13, 41
19, 7, 219, 1, 41

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

2 x 2 x 2 x 5 x 13 x 19 x 7 x 219 x 1 x 41 = 620987640

Therefore, the lowest common multiple of 760,455,876,520,820 is 620987640.

LCM Formula to Find Lowest Common Multiple of 760,455,876,520,820

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.

760 x 455 x 876 x 520 x 820 = 129165429120000

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.

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

455 : 1, 5, 7, 13, 35, 65, 91, 455

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,455,876,520,820, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

455:5x 7x 13

876:2x 2x 3x 73

520:2x 2x 2x 5x 13

820:2x 2x 5x 41

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 2x 2x 5x 5x 5x 13 = 208000

Therefore, the value for common factors is 208000.

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 = 129165429120000/(1x208000)

LCM = 129165429120000/208000

LCM = 620987640

Thus, we can understand that the LCM of 760,455,876,520,820 is 620987640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 760, 455, 876, 520, 820

1. What is the LCM of 760, 455, 876, 520, 820?

Answer: LCM of 760, 455, 876, 520, 820 is 620987640.

2. How to calculate the LCM of 760, 455, 876, 520, 820?

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 760, 455, 876, 520, 820.

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}.