LCM of 724, 833, 856, 414, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 833, 856, 414, 921 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, 833, 856, 414, 921. So, keep reading to learn more.
Given numbers are 724,833,856,414,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,833,856,414,921 is 8201741210712.
Find LCM of 724,833,856,414,921 with Prime Factorization
| 2 | 724, 833, 856, 414, 921 |
| 2 | 362, 833, 428, 207, 921 |
| 3 | 181, 833, 214, 207, 921 |
| 181, 833, 214, 69, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 181 x 833 x 214 x 69 x 307 = 8201741210712
Therefore, the lowest common multiple of 724,833,856,414,921 is 8201741210712.
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 833 x 856 x 414 x 921 = 196841789057088
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
833 : 1, 7, 17, 49, 119, 833
856 : 1, 2, 4, 8, 107, 214, 428, 856
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,833,856,414,921, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
833:7x 7x 17
856:2x 2x 2x 107
414:2x 3x 3x 23
921:3x 307
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 3 = 24
Therefore, the value for common factors is 24.
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 = 196841789057088/(1x24)
LCM = 196841789057088/24
LCM = 8201741210712
Thus, we can understand that the LCM of 724,833,856,414,921 is 8201741210712.
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FAQs on LCM of 724, 833, 856, 414, 921
1. What is the LCM of 724, 833, 856, 414, 921?
Answer: LCM of 724, 833, 856, 414, 921 is 8201741210712.
2. How to calculate the LCM of 724, 833, 856, 414, 921?
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, 833, 856, 414, 921.
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}.