LCM of 349, 708, 960, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 349, 708, 960, 400 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 349, 708, 960, 400. So, keep reading to learn more.
Given numbers are 349,708,960,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 349,708,960,400 is 98836800.
Find LCM of 349,708,960,400 with Prime Factorization
| 2 | 349, 708, 960, 400 |
| 2 | 349, 354, 480, 200 |
| 2 | 349, 177, 240, 100 |
| 2 | 349, 177, 120, 50 |
| 3 | 349, 177, 60, 25 |
| 5 | 349, 59, 20, 25 |
| 349, 59, 4, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 349 x 59 x 4 x 5 = 98836800
Therefore, the lowest common multiple of 349,708,960,400 is 98836800.
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.
349 x 708 x 960 x 400 = 94883328000
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.
349 : 1, 349
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,708,960,400, is 1.
Now, the common factors can be found like this.
349:349
708:2x 2x 3x 59
960:2x 2x 2x 2x 2x 2x 3x 5
400:2x 2x 2x 2x 5x 5
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 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 94883328000/(1x960)
LCM = 94883328000/960
LCM = 98836800
Thus, we can understand that the LCM of 349,708,960,400 is 98836800.
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FAQs on LCM of 349, 708, 960, 400
1. What is the LCM of 349, 708, 960, 400?
Answer: LCM of 349, 708, 960, 400 is 98836800.
2. How to calculate the LCM of 349, 708, 960, 400?
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 349, 708, 960, 400.
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}.