LCM of 908, 542, 924, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 908, 542, 924, 882 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 908, 542, 924, 882. So, keep reading to learn more.
Given numbers are 908,542,924,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 908,542,924,882 is 1193675868.
Find LCM of 908,542,924,882 with Prime Factorization
| 2 | 908, 542, 924, 882 |
| 2 | 454, 271, 462, 441 |
| 3 | 227, 271, 231, 441 |
| 7 | 227, 271, 77, 147 |
| 227, 271, 11, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 227 x 271 x 11 x 21 = 1193675868
Therefore, the lowest common multiple of 908,542,924,882 is 1193675868.
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.
908 x 542 x 924 x 882 = 401075091648
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.
908 : 1, 2, 4, 227, 454, 908
542 : 1, 2, 271, 542
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,542,924,882, is 2.
Now, the common factors can be found like this.
908:2x 2x 227
542:2x 271
924:2x 2x 3x 7x 11
882:2x 3x 3x 7x 7
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 7 = 168
Therefore, the value for common factors is 168.
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 = 401075091648/(2x168)
LCM = 401075091648/336
LCM = 1193675868
Thus, we can understand that the LCM of 908,542,924,882 is 1193675868.
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FAQs on LCM of 908, 542, 924, 882
1. What is the LCM of 908, 542, 924, 882?
Answer: LCM of 908, 542, 924, 882 is 1193675868.
2. How to calculate the LCM of 908, 542, 924, 882?
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 908, 542, 924, 882.
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}.