LCM of 563, 420, 121, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 420, 121, 940 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 563, 420, 121, 940. So, keep reading to learn more.
Given numbers are 563,420,121,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,420,121,940 is 1344748020.
Find LCM of 563,420,121,940 with Prime Factorization
| 2 | 563, 420, 121, 940 |
| 2 | 563, 210, 121, 470 |
| 5 | 563, 105, 121, 235 |
| 563, 21, 121, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 563 x 21 x 121 x 47 = 1344748020
Therefore, the lowest common multiple of 563,420,121,940 is 1344748020.
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.
563 x 420 x 121 x 940 = 26894960400
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.
563 : 1, 563
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
121 : 1, 11, 121
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,420,121,940, is 1.
Now, the common factors can be found like this.
563:563
420:2x 2x 3x 5x 7
121:11x 11
940:2x 2x 5x 47
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 5 = 20
Therefore, the value for common factors is 20.
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 = 26894960400/(1x20)
LCM = 26894960400/20
LCM = 1344748020
Thus, we can understand that the LCM of 563,420,121,940 is 1344748020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 563, 420, 121, 940
1. What is the LCM of 563, 420, 121, 940?
Answer: LCM of 563, 420, 121, 940 is 1344748020.
2. How to calculate the LCM of 563, 420, 121, 940?
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 563, 420, 121, 940.
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}.