LCM of 724, 854, 420, 227, 774
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 854, 420, 227, 774 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 724, 854, 420, 227, 774. So, keep reading to learn more.
Given numbers are 724,854,420,227,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,854,420,227,774 is 135791713260.
Find LCM of 724,854,420,227,774 with Prime Factorization
| 2 | 724, 854, 420, 227, 774 |
| 2 | 362, 427, 210, 227, 387 |
| 3 | 181, 427, 105, 227, 387 |
| 7 | 181, 427, 35, 227, 129 |
| 181, 61, 5, 227, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 181 x 61 x 5 x 227 x 129 = 135791713260
Therefore, the lowest common multiple of 724,854,420,227,774 is 135791713260.
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.
724 x 854 x 420 x 227 x 774 = 45626015655360
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.
724 : 1, 2, 4, 181, 362, 724
854 : 1, 2, 7, 14, 61, 122, 427, 854
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
227 : 1, 227
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,854,420,227,774, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
854:2x 7x 61
420:2x 2x 3x 5x 7
227:227
774:2x 3x 3x 43
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 45626015655360/(1x336)
LCM = 45626015655360/336
LCM = 135791713260
Thus, we can understand that the LCM of 724,854,420,227,774 is 135791713260.
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FAQs on LCM of 724, 854, 420, 227, 774
1. What is the LCM of 724, 854, 420, 227, 774?
Answer: LCM of 724, 854, 420, 227, 774 is 135791713260.
2. How to calculate the LCM of 724, 854, 420, 227, 774?
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 724, 854, 420, 227, 774.
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}.