LCM of 822, 210, 420, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 210, 420, 429 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 822, 210, 420, 429. So, keep reading to learn more.
Given numbers are 822,210,420,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,210,420,429 is 8228220.
Find LCM of 822,210,420,429 with Prime Factorization
| 2 | 822, 210, 420, 429 |
| 3 | 411, 105, 210, 429 |
| 5 | 137, 35, 70, 143 |
| 7 | 137, 7, 14, 143 |
| 137, 1, 2, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 137 x 1 x 2 x 143 = 8228220
Therefore, the lowest common multiple of 822,210,420,429 is 8228220.
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.
822 x 210 x 420 x 429 = 31102671600
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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
429 : 1, 3, 11, 13, 33, 39, 143, 429
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,210,420,429, is 3.
Now, the common factors can be found like this.
822:2x 3x 137
210:2x 3x 5x 7
420:2x 2x 3x 5x 7
429:3x 11x 13
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 3x 3x 5x 7 = 1260
Therefore, the value for common factors is 1260.
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 = 31102671600/(3x1260)
LCM = 31102671600/3780
LCM = 8228220
Thus, we can understand that the LCM of 822,210,420,429 is 8228220.
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FAQs on LCM of 822, 210, 420, 429
1. What is the LCM of 822, 210, 420, 429?
Answer: LCM of 822, 210, 420, 429 is 8228220.
2. How to calculate the LCM of 822, 210, 420, 429?
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 822, 210, 420, 429.
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}.