LCM of 949, 274, 195, 563, 822
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 274, 195, 563, 822 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 949, 274, 195, 563, 822. So, keep reading to learn more.
Given numbers are 949,274,195,563,822
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,274,195,563,822 is 2195919570.
Find LCM of 949,274,195,563,822 with Prime Factorization
| 2 | 949, 274, 195, 563, 822 |
| 3 | 949, 137, 195, 563, 411 |
| 13 | 949, 137, 65, 563, 137 |
| 137 | 73, 137, 5, 563, 137 |
| 73, 1, 5, 563, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 137 x 73 x 1 x 5 x 563 x 1 = 2195919570
Therefore, the lowest common multiple of 949,274,195,563,822 is 2195919570.
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.
949 x 274 x 195 x 563 x 822 = 23465596525020
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.
949 : 1, 13, 73, 949
274 : 1, 2, 137, 274
195 : 1, 3, 5, 13, 15, 39, 65, 195
563 : 1, 563
822 : 1, 2, 3, 6, 137, 274, 411, 822
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,274,195,563,822, is 1.
Now, the common factors can be found like this.
949:13x 73
274:2x 137
195:3x 5x 13
563:563
822:2x 3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 137 = 10686
Therefore, the value for common factors is 10686.
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 = 23465596525020/(1x10686)
LCM = 23465596525020/10686
LCM = 2195919570
Thus, we can understand that the LCM of 949,274,195,563,822 is 2195919570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 949, 274, 195, 563, 822
1. What is the LCM of 949, 274, 195, 563, 822?
Answer: LCM of 949, 274, 195, 563, 822 is 2195919570.
2. How to calculate the LCM of 949, 274, 195, 563, 822?
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 949, 274, 195, 563, 822.
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}.