LCM of 910, 796, 224, 199, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 796, 224, 199, 480 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 910, 796, 224, 199, 480. So, keep reading to learn more.
Given numbers are 910,796,224,199,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,796,224,199,480 is 8692320.
Find LCM of 910,796,224,199,480 with Prime Factorization
| 2 | 910, 796, 224, 199, 480 |
| 2 | 455, 398, 112, 199, 240 |
| 2 | 455, 199, 56, 199, 120 |
| 2 | 455, 199, 28, 199, 60 |
| 2 | 455, 199, 14, 199, 30 |
| 5 | 455, 199, 7, 199, 15 |
| 7 | 91, 199, 7, 199, 3 |
| 199 | 13, 199, 1, 199, 3 |
| 13, 1, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 7 x 199 x 13 x 1 x 1 x 1 x 3 = 8692320
Therefore, the lowest common multiple of 910,796,224,199,480 is 8692320.
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.
910 x 796 x 224 x 199 x 480 = 15498754252800
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
796 : 1, 2, 4, 199, 398, 796
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
199 : 1, 199
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,796,224,199,480, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
796:2x 2x 199
224:2x 2x 2x 2x 2x 7
199:199
480:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 5x 7x 199 = 1783040
Therefore, the value for common factors is 1783040.
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 = 15498754252800/(1x1783040)
LCM = 15498754252800/1783040
LCM = 8692320
Thus, we can understand that the LCM of 910,796,224,199,480 is 8692320.
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FAQs on LCM of 910, 796, 224, 199, 480
1. What is the LCM of 910, 796, 224, 199, 480?
Answer: LCM of 910, 796, 224, 199, 480 is 8692320.
2. How to calculate the LCM of 910, 796, 224, 199, 480?
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 910, 796, 224, 199, 480.
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}.