LCM of 470, 420, 822, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 420, 822, 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 470, 420, 822, 940. So, keep reading to learn more.
Given numbers are 470,420,822,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,420,822,940 is 2704380.
Find LCM of 470,420,822,940 with Prime Factorization
| 2 | 470, 420, 822, 940 |
| 2 | 235, 210, 411, 470 |
| 3 | 235, 105, 411, 235 |
| 5 | 235, 35, 137, 235 |
| 47 | 47, 7, 137, 47 |
| 1, 7, 137, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 47 x 1 x 7 x 137 x 1 = 2704380
Therefore, the lowest common multiple of 470,420,822,940 is 2704380.
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.
470 x 420 x 822 x 940 = 152527032000
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
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
822 : 1, 2, 3, 6, 137, 274, 411, 822
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,420,822,940, is 2.
Now, the common factors can be found like this.
470:2x 5x 47
420:2x 2x 3x 5x 7
822:2x 3x 137
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 2x 3x 5x 5x 47 = 28200
Therefore, the value for common factors is 28200.
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 = 152527032000/(2x28200)
LCM = 152527032000/56400
LCM = 2704380
Thus, we can understand that the LCM of 470,420,822,940 is 2704380.
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FAQs on LCM of 470, 420, 822, 940
1. What is the LCM of 470, 420, 822, 940?
Answer: LCM of 470, 420, 822, 940 is 2704380.
2. How to calculate the LCM of 470, 420, 822, 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 470, 420, 822, 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}.