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LCM of 122, 805, 654, 796, 824

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


Find the LCM of 122, 805, 654, 796, 824 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 122, 805, 654, 796, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 122,805,654,796,824

Given numbers are 122,805,654,796,824

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

The LCM of 122,805,654,796,824 is 2633017563960.

Find LCM of 122,805,654,796,824 with Prime Factorization


2 122, 805, 654, 796, 824
2 61, 805, 327, 398, 412
61, 805, 327, 199, 206

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

2 x 2 x 61 x 805 x 327 x 199 x 206 = 2633017563960

Therefore, the lowest common multiple of 122,805,654,796,824 is 2633017563960.

LCM Formula to Find Lowest Common Multiple of 122,805,654,796,824

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.

122 x 805 x 654 x 796 x 824 = 42128281023360

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.

122 : 1, 2, 61, 122

805 : 1, 5, 7, 23, 35, 115, 161, 805

654 : 1, 2, 3, 6, 109, 218, 327, 654

796 : 1, 2, 4, 199, 398, 796

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,805,654,796,824, is 1.

Now, the common factors can be found like this.

122:2x 61

805:5x 7x 23

654:2x 3x 109

796:2x 2x 199

824:2x 2x 2x 103

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 2 = 16

Therefore, the value for common factors is 16.

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 = 42128281023360/(1x16)

LCM = 42128281023360/16

LCM = 2633017563960

Thus, we can understand that the LCM of 122,805,654,796,824 is 2633017563960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 122, 805, 654, 796, 824

1. What is the LCM of 122, 805, 654, 796, 824?

Answer: LCM of 122, 805, 654, 796, 824 is 2633017563960.

2. How to calculate the LCM of 122, 805, 654, 796, 824?

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 122, 805, 654, 796, 824.

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}.