LCM of 491, 894, 905, 720, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 894, 905, 720, 224 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 491, 894, 905, 720, 224. So, keep reading to learn more.
Given numbers are 491,894,905,720,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,894,905,720,224 is 133477132320.
Find LCM of 491,894,905,720,224 with Prime Factorization
| 2 | 491, 894, 905, 720, 224 |
| 2 | 491, 447, 905, 360, 112 |
| 2 | 491, 447, 905, 180, 56 |
| 2 | 491, 447, 905, 90, 28 |
| 3 | 491, 447, 905, 45, 14 |
| 5 | 491, 149, 905, 15, 14 |
| 491, 149, 181, 3, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 491 x 149 x 181 x 3 x 14 = 133477132320
Therefore, the lowest common multiple of 491,894,905,720,224 is 133477132320.
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.
491 x 894 x 905 x 720 x 224 = 64069023513600
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.
491 : 1, 491
894 : 1, 2, 3, 6, 149, 298, 447, 894
905 : 1, 5, 181, 905
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,894,905,720,224, is 1.
Now, the common factors can be found like this.
491:491
894:2x 3x 149
905:5x 181
720:2x 2x 2x 2x 3x 3x 5
224:2x 2x 2x 2x 2x 7
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 5 = 480
Therefore, the value for common factors is 480.
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 = 64069023513600/(1x480)
LCM = 64069023513600/480
LCM = 133477132320
Thus, we can understand that the LCM of 491,894,905,720,224 is 133477132320.
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FAQs on LCM of 491, 894, 905, 720, 224
1. What is the LCM of 491, 894, 905, 720, 224?
Answer: LCM of 491, 894, 905, 720, 224 is 133477132320.
2. How to calculate the LCM of 491, 894, 905, 720, 224?
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 491, 894, 905, 720, 224.
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}.