LCM of 293, 824, 688, 216, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 824, 688, 216, 417 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 293, 824, 688, 216, 417. So, keep reading to learn more.
Given numbers are 293,824,688,216,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,824,688,216,417 is 77924109456.
Find LCM of 293,824,688,216,417 with Prime Factorization
| 2 | 293, 824, 688, 216, 417 |
| 2 | 293, 412, 344, 108, 417 |
| 2 | 293, 206, 172, 54, 417 |
| 3 | 293, 103, 86, 27, 417 |
| 293, 103, 86, 9, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 293 x 103 x 86 x 9 x 139 = 77924109456
Therefore, the lowest common multiple of 293,824,688,216,417 is 77924109456.
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.
293 x 824 x 688 x 216 x 417 = 14961429015552
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.
293 : 1, 293
824 : 1, 2, 4, 8, 103, 206, 412, 824
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,824,688,216,417, is 1.
Now, the common factors can be found like this.
293:293
824:2x 2x 2x 103
688:2x 2x 2x 2x 43
216:2x 2x 2x 3x 3x 3
417:3x 139
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 = 14961429015552/(1x192)
LCM = 14961429015552/192
LCM = 77924109456
Thus, we can understand that the LCM of 293,824,688,216,417 is 77924109456.
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FAQs on LCM of 293, 824, 688, 216, 417
1. What is the LCM of 293, 824, 688, 216, 417?
Answer: LCM of 293, 824, 688, 216, 417 is 77924109456.
2. How to calculate the LCM of 293, 824, 688, 216, 417?
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 293, 824, 688, 216, 417.
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}.