LCM of 902, 688, 822, 224, 579
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 688, 822, 224, 579 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 902, 688, 822, 224, 579. So, keep reading to learn more.
Given numbers are 902,688,822,224,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,688,822,224,579 is 344581650336.
Find LCM of 902,688,822,224,579 with Prime Factorization
| 2 | 902, 688, 822, 224, 579 |
| 2 | 451, 344, 411, 112, 579 |
| 2 | 451, 172, 411, 56, 579 |
| 2 | 451, 86, 411, 28, 579 |
| 3 | 451, 43, 411, 14, 579 |
| 451, 43, 137, 14, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 451 x 43 x 137 x 14 x 193 = 344581650336
Therefore, the lowest common multiple of 902,688,822,224,579 is 344581650336.
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.
902 x 688 x 822 x 224 x 579 = 66159676864512
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
822 : 1, 2, 3, 6, 137, 274, 411, 822
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,688,822,224,579, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
688:2x 2x 2x 2x 43
822:2x 3x 137
224:2x 2x 2x 2x 2x 7
579:3x 193
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 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 66159676864512/(1x192)
LCM = 66159676864512/192
LCM = 344581650336
Thus, we can understand that the LCM of 902,688,822,224,579 is 344581650336.
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FAQs on LCM of 902, 688, 822, 224, 579
1. What is the LCM of 902, 688, 822, 224, 579?
Answer: LCM of 902, 688, 822, 224, 579 is 344581650336.
2. How to calculate the LCM of 902, 688, 822, 224, 579?
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 902, 688, 822, 224, 579.
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}.