LCM of 292, 420, 994, 902, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 420, 994, 902, 996 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 292, 420, 994, 902, 996. So, keep reading to learn more.
Given numbers are 292,420,994,902,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,420,994,902,996 is 81486400380.
Find LCM of 292,420,994,902,996 with Prime Factorization
| 2 | 292, 420, 994, 902, 996 |
| 2 | 146, 210, 497, 451, 498 |
| 3 | 73, 105, 497, 451, 249 |
| 7 | 73, 35, 497, 451, 83 |
| 73, 5, 71, 451, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 73 x 5 x 71 x 451 x 83 = 81486400380
Therefore, the lowest common multiple of 292,420,994,902,996 is 81486400380.
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.
292 x 420 x 994 x 902 x 996 = 109517722110720
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.
292 : 1, 2, 4, 73, 146, 292
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
994 : 1, 2, 7, 14, 71, 142, 497, 994
902 : 1, 2, 11, 22, 41, 82, 451, 902
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,420,994,902,996, is 2.
Now, the common factors can be found like this.
292:2x 2x 73
420:2x 2x 3x 5x 7
994:2x 7x 71
902:2x 11x 41
996:2x 2x 3x 83
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 2x 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 109517722110720/(2x672)
LCM = 109517722110720/1344
LCM = 81486400380
Thus, we can understand that the LCM of 292,420,994,902,996 is 81486400380.
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FAQs on LCM of 292, 420, 994, 902, 996
1. What is the LCM of 292, 420, 994, 902, 996?
Answer: LCM of 292, 420, 994, 902, 996 is 81486400380.
2. How to calculate the LCM of 292, 420, 994, 902, 996?
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 292, 420, 994, 902, 996.
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}.