LCM of 614, 306, 912, 969, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 306, 912, 969, 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 614, 306, 912, 969, 921. So, keep reading to learn more.
Given numbers are 614,306,912,969,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,306,912,969,921 is 14279184.
Find LCM of 614,306,912,969,921 with Prime Factorization
| 2 | 614, 306, 912, 969, 921 |
| 3 | 307, 153, 456, 969, 921 |
| 17 | 307, 51, 152, 323, 307 |
| 19 | 307, 3, 152, 19, 307 |
| 307 | 307, 3, 8, 1, 307 |
| 1, 3, 8, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 307 x 1 x 3 x 8 x 1 x 1 = 14279184
Therefore, the lowest common multiple of 614,306,912,969,921 is 14279184.
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 306 x 912 x 969 x 921 = 152921321779392
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
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
969 : 1, 3, 17, 19, 51, 57, 323, 969
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,306,912,969,921, is 1.
Now, the common factors can be found like this.
614:2x 307
306:2x 3x 3x 17
912:2x 2x 2x 2x 3x 19
969:3x 17x 19
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 3x 3x 3x 17x 19x 307 = 10709388
Therefore, the value for common factors is 10709388.
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 = 152921321779392/(1x10709388)
LCM = 152921321779392/10709388
LCM = 14279184
Thus, we can understand that the LCM of 614,306,912,969,921 is 14279184.
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FAQs on LCM of 614, 306, 912, 969, 921
1. What is the LCM of 614, 306, 912, 969, 921?
Answer: LCM of 614, 306, 912, 969, 921 is 14279184.
2. How to calculate the LCM of 614, 306, 912, 969, 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 614, 306, 912, 969, 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}.