LCM of 812, 553, 237, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 812, 553, 237, 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 812, 553, 237, 429. So, keep reading to learn more.
Given numbers are 812,553,237,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 812,553,237,429 is 27519492.
Find LCM of 812,553,237,429 with Prime Factorization
| 3 | 812, 553, 237, 429 |
| 7 | 812, 553, 79, 143 |
| 79 | 116, 79, 79, 143 |
| 116, 1, 1, 143 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 79 x 116 x 1 x 1 x 143 = 27519492
Therefore, the lowest common multiple of 812,553,237,429 is 27519492.
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.
812 x 553 x 237 x 429 = 45654837228
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.
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
553 : 1, 7, 79, 553
237 : 1, 3, 79, 237
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,553,237,429, is 1.
Now, the common factors can be found like this.
812:2x 2x 7x 29
553:7x 79
237:3x 79
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.
3x 7x 79 = 1659
Therefore, the value for common factors is 1659.
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 = 45654837228/(1x1659)
LCM = 45654837228/1659
LCM = 27519492
Thus, we can understand that the LCM of 812,553,237,429 is 27519492.
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FAQs on LCM of 812, 553, 237, 429
1. What is the LCM of 812, 553, 237, 429?
Answer: LCM of 812, 553, 237, 429 is 27519492.
2. How to calculate the LCM of 812, 553, 237, 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 812, 553, 237, 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}.