LCM of 376, 822, 981, 478
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 376, 822, 981, 478 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 376, 822, 981, 478. So, keep reading to learn more.
Given numbers are 376,822,981,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,822,981,478 is 12077452008.
Find LCM of 376,822,981,478 with Prime Factorization
| 2 | 376, 822, 981, 478 |
| 3 | 188, 411, 981, 239 |
| 188, 137, 327, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 188 x 137 x 327 x 239 = 12077452008
Therefore, the lowest common multiple of 376,822,981,478 is 12077452008.
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.
376 x 822 x 981 x 478 = 144929424096
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
822 : 1, 2, 3, 6, 137, 274, 411, 822
981 : 1, 3, 9, 109, 327, 981
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,822,981,478, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
822:2x 3x 137
981:3x 3x 109
478:2x 239
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 3 = 12
Therefore, the value for common factors is 12.
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 = 144929424096/(1x12)
LCM = 144929424096/12
LCM = 12077452008
Thus, we can understand that the LCM of 376,822,981,478 is 12077452008.
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FAQs on LCM of 376, 822, 981, 478
1. What is the LCM of 376, 822, 981, 478?
Answer: LCM of 376, 822, 981, 478 is 12077452008.
2. How to calculate the LCM of 376, 822, 981, 478?
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 376, 822, 981, 478.
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}.