LCM of 161, 308, 956, 848, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 161, 308, 956, 848, 578 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 161, 308, 956, 848, 578. So, keep reading to learn more.
Given numbers are 161,308,956,848,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,308,956,848,578 is 103731380368.
Find LCM of 161,308,956,848,578 with Prime Factorization
| 2 | 161, 308, 956, 848, 578 |
| 2 | 161, 154, 478, 424, 289 |
| 7 | 161, 77, 239, 212, 289 |
| 23, 11, 239, 212, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 23 x 11 x 239 x 212 x 289 = 103731380368
Therefore, the lowest common multiple of 161,308,956,848,578 is 103731380368.
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.
161 x 308 x 956 x 848 x 578 = 23235829202432
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.
161 : 1, 7, 23, 161
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
956 : 1, 2, 4, 239, 478, 956
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,308,956,848,578, is 1.
Now, the common factors can be found like this.
161:7x 23
308:2x 2x 7x 11
956:2x 2x 239
848:2x 2x 2x 2x 53
578:2x 17x 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 7 = 224
Therefore, the value for common factors is 224.
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 = 23235829202432/(1x224)
LCM = 23235829202432/224
LCM = 103731380368
Thus, we can understand that the LCM of 161,308,956,848,578 is 103731380368.
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FAQs on LCM of 161, 308, 956, 848, 578
1. What is the LCM of 161, 308, 956, 848, 578?
Answer: LCM of 161, 308, 956, 848, 578 is 103731380368.
2. How to calculate the LCM of 161, 308, 956, 848, 578?
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 161, 308, 956, 848, 578.
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}.