LCM of 706, 478, 350, 216, 135
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 478, 350, 216, 135 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 706, 478, 350, 216, 135. So, keep reading to learn more.
Given numbers are 706,478,350,216,135
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,478,350,216,135 is 3189072600.
Find LCM of 706,478,350,216,135 with Prime Factorization
| 2 | 706, 478, 350, 216, 135 |
| 3 | 353, 239, 175, 108, 135 |
| 3 | 353, 239, 175, 36, 45 |
| 3 | 353, 239, 175, 12, 15 |
| 5 | 353, 239, 175, 4, 5 |
| 353, 239, 35, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 353 x 239 x 35 x 4 x 1 = 3189072600
Therefore, the lowest common multiple of 706,478,350,216,135 is 3189072600.
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.
706 x 478 x 350 x 216 x 135 = 3444198408000
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.
706 : 1, 2, 353, 706
478 : 1, 2, 239, 478
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
135 : 1, 3, 5, 9, 15, 27, 45, 135
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,478,350,216,135, is 1.
Now, the common factors can be found like this.
706:2x 353
478:2x 239
350:2x 5x 5x 7
216:2x 2x 2x 3x 3x 3
135:3x 3x 3x 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 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 3444198408000/(1x1080)
LCM = 3444198408000/1080
LCM = 3189072600
Thus, we can understand that the LCM of 706,478,350,216,135 is 3189072600.
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FAQs on LCM of 706, 478, 350, 216, 135
1. What is the LCM of 706, 478, 350, 216, 135?
Answer: LCM of 706, 478, 350, 216, 135 is 3189072600.
2. How to calculate the LCM of 706, 478, 350, 216, 135?
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 706, 478, 350, 216, 135.
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}.