LCM of 995, 578, 746, 696, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 578, 746, 696, 696 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 995, 578, 746, 696, 696. So, keep reading to learn more.
Given numbers are 995,578,746,696,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,578,746,696,696 is 74651578440.
Find LCM of 995,578,746,696,696 with Prime Factorization
| 2 | 995, 578, 746, 696, 696 |
| 2 | 995, 289, 373, 348, 348 |
| 2 | 995, 289, 373, 174, 174 |
| 3 | 995, 289, 373, 87, 87 |
| 29 | 995, 289, 373, 29, 29 |
| 995, 289, 373, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 995 x 289 x 373 x 1 x 1 = 74651578440
Therefore, the lowest common multiple of 995,578,746,696,696 is 74651578440.
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.
995 x 578 x 746 x 696 x 696 = 207829994376960
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.
995 : 1, 5, 199, 995
578 : 1, 2, 17, 34, 289, 578
746 : 1, 2, 373, 746
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,578,746,696,696, is 1.
Now, the common factors can be found like this.
995:5x 199
578:2x 17x 17
746:2x 373
696:2x 2x 2x 3x 29
696:2x 2x 2x 3x 29
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 3x 29 = 2784
Therefore, the value for common factors is 2784.
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 = 207829994376960/(1x2784)
LCM = 207829994376960/2784
LCM = 74651578440
Thus, we can understand that the LCM of 995,578,746,696,696 is 74651578440.
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FAQs on LCM of 995, 578, 746, 696, 696
1. What is the LCM of 995, 578, 746, 696, 696?
Answer: LCM of 995, 578, 746, 696, 696 is 74651578440.
2. How to calculate the LCM of 995, 578, 746, 696, 696?
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 995, 578, 746, 696, 696.
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}.