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LCM of 827, 480, 529, 120

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


Find the LCM of 827, 480, 529, 120 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 827, 480, 529, 120. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 827,480,529,120

Given numbers are 827,480,529,120

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

The LCM of 827,480,529,120 is 209991840.

Find LCM of 827,480,529,120 with Prime Factorization


2 827, 480, 529, 120
2 827, 240, 529, 60
2 827, 120, 529, 30
3 827, 60, 529, 15
5 827, 20, 529, 5
827, 4, 529, 1

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

2 x 2 x 2 x 3 x 5 x 827 x 4 x 529 x 1 = 209991840

Therefore, the lowest common multiple of 827,480,529,120 is 209991840.

LCM Formula to Find Lowest Common Multiple of 827,480,529,120

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.

827 x 480 x 529 x 120 = 25199020800

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.

827 : 1, 827

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

529 : 1, 23, 529

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,480,529,120, is 1.

Now, the common factors can be found like this.

827:827

480:2x 2x 2x 2x 2x 3x 5

529:23x 23

120:2x 2x 2x 3x 5

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 5 = 120

Therefore, the value for common factors is 120.

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 = 25199020800/(1x120)

LCM = 25199020800/120

LCM = 209991840

Thus, we can understand that the LCM of 827,480,529,120 is 209991840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 827, 480, 529, 120

1. What is the LCM of 827, 480, 529, 120?

Answer: LCM of 827, 480, 529, 120 is 209991840.

2. How to calculate the LCM of 827, 480, 529, 120?

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 827, 480, 529, 120.

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}.