LCM of 880, 242, 796, 706, 316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 880, 242, 796, 706, 316 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 880, 242, 796, 706, 316. So, keep reading to learn more.
Given numbers are 880,242,796,706,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 880,242,796,706,316 is 53719285840.
Find LCM of 880,242,796,706,316 with Prime Factorization
| 2 | 880, 242, 796, 706, 316 |
| 2 | 440, 121, 398, 353, 158 |
| 11 | 220, 121, 199, 353, 79 |
| 20, 11, 199, 353, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 20 x 11 x 199 x 353 x 79 = 53719285840
Therefore, the lowest common multiple of 880,242,796,706,316 is 53719285840.
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.
880 x 242 x 796 x 706 x 316 = 37818377231360
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.
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
242 : 1, 2, 11, 22, 121, 242
796 : 1, 2, 4, 199, 398, 796
706 : 1, 2, 353, 706
316 : 1, 2, 4, 79, 158, 316
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,242,796,706,316, is 2.
Now, the common factors can be found like this.
880:2x 2x 2x 2x 5x 11
242:2x 11x 11
796:2x 2x 199
706:2x 353
316:2x 2x 79
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 11 = 352
Therefore, the value for common factors is 352.
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 = 37818377231360/(2x352)
LCM = 37818377231360/704
LCM = 53719285840
Thus, we can understand that the LCM of 880,242,796,706,316 is 53719285840.
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FAQs on LCM of 880, 242, 796, 706, 316
1. What is the LCM of 880, 242, 796, 706, 316?
Answer: LCM of 880, 242, 796, 706, 316 is 53719285840.
2. How to calculate the LCM of 880, 242, 796, 706, 316?
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 880, 242, 796, 706, 316.
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}.