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LCM of 168, 515, 778, 798, 504

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


Find the LCM of 168, 515, 778, 798, 504 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 168, 515, 778, 798, 504. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 168,515,778,798,504

Given numbers are 168,515,778,798,504

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

The LCM of 168,515,778,798,504 is 1918407960.

Find LCM of 168,515,778,798,504 with Prime Factorization


2 168, 515, 778, 798, 504
2 84, 515, 389, 399, 252
2 42, 515, 389, 399, 126
3 21, 515, 389, 399, 63
7 7, 515, 389, 133, 21
1, 515, 389, 19, 3

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

2 x 2 x 2 x 3 x 7 x 1 x 515 x 389 x 19 x 3 = 1918407960

Therefore, the lowest common multiple of 168,515,778,798,504 is 1918407960.

LCM Formula to Find Lowest Common Multiple of 168,515,778,798,504

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.

168 x 515 x 778 x 798 x 504 = 27072573131520

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.

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

515 : 1, 5, 103, 515

778 : 1, 2, 389, 778

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,515,778,798,504, is 1.

Now, the common factors can be found like this.

168:2x 2x 2x 3x 7

515:5x 103

778:2x 389

798:2x 3x 7x 19

504:2x 2x 2x 3x 3x 7

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 3x 3x 7x 7 = 14112

Therefore, the value for common factors is 14112.

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 = 27072573131520/(1x14112)

LCM = 27072573131520/14112

LCM = 1918407960

Thus, we can understand that the LCM of 168,515,778,798,504 is 1918407960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 168, 515, 778, 798, 504

1. What is the LCM of 168, 515, 778, 798, 504?

Answer: LCM of 168, 515, 778, 798, 504 is 1918407960.

2. How to calculate the LCM of 168, 515, 778, 798, 504?

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 168, 515, 778, 798, 504.

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}.