LCM of 711, 452, 492, 976, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 711, 452, 492, 976, 272 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 711, 452, 492, 976, 272. So, keep reading to learn more.
Given numbers are 711,452,492,976,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,452,492,976,272 is 54655093296.
Find LCM of 711,452,492,976,272 with Prime Factorization
| 2 | 711, 452, 492, 976, 272 |
| 2 | 711, 226, 246, 488, 136 |
| 2 | 711, 113, 123, 244, 68 |
| 2 | 711, 113, 123, 122, 34 |
| 3 | 711, 113, 123, 61, 17 |
| 237, 113, 41, 61, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 237 x 113 x 41 x 61 x 17 = 54655093296
Therefore, the lowest common multiple of 711,452,492,976,272 is 54655093296.
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.
711 x 452 x 492 x 976 x 272 = 41975111651328
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.
711 : 1, 3, 9, 79, 237, 711
452 : 1, 2, 4, 113, 226, 452
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,452,492,976,272, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
452:2x 2x 113
492:2x 2x 3x 41
976:2x 2x 2x 2x 61
272:2x 2x 2x 2x 17
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 2x 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 41975111651328/(1x768)
LCM = 41975111651328/768
LCM = 54655093296
Thus, we can understand that the LCM of 711,452,492,976,272 is 54655093296.
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FAQs on LCM of 711, 452, 492, 976, 272
1. What is the LCM of 711, 452, 492, 976, 272?
Answer: LCM of 711, 452, 492, 976, 272 is 54655093296.
2. How to calculate the LCM of 711, 452, 492, 976, 272?
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 711, 452, 492, 976, 272.
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}.