LCM of 614, 804, 307, 748, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 804, 307, 748, 944 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 614, 804, 307, 748, 944. So, keep reading to learn more.
Given numbers are 614,804,307,748,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,804,307,748,944 is 10893013296.
Find LCM of 614,804,307,748,944 with Prime Factorization
| 2 | 614, 804, 307, 748, 944 |
| 2 | 307, 402, 307, 374, 472 |
| 307 | 307, 201, 307, 187, 236 |
| 1, 201, 1, 187, 236 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 307 x 1 x 201 x 1 x 187 x 236 = 10893013296
Therefore, the lowest common multiple of 614,804,307,748,944 is 10893013296.
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.
614 x 804 x 307 x 748 x 944 = 107012962619904
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.
614 : 1, 2, 307, 614
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
307 : 1, 307
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,804,307,748,944, is 1.
Now, the common factors can be found like this.
614:2x 307
804:2x 2x 3x 67
307:307
748:2x 2x 11x 17
944:2x 2x 2x 2x 59
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 307 = 9824
Therefore, the value for common factors is 9824.
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 = 107012962619904/(1x9824)
LCM = 107012962619904/9824
LCM = 10893013296
Thus, we can understand that the LCM of 614,804,307,748,944 is 10893013296.
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FAQs on LCM of 614, 804, 307, 748, 944
1. What is the LCM of 614, 804, 307, 748, 944?
Answer: LCM of 614, 804, 307, 748, 944 is 10893013296.
2. How to calculate the LCM of 614, 804, 307, 748, 944?
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 614, 804, 307, 748, 944.
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}.