LCM of 671, 969, 516, 902, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 671, 969, 516, 902, 614 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 671, 969, 516, 902, 614. So, keep reading to learn more.
Given numbers are 671,969,516,902,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 671,969,516,902,614 is 1407657427836.
Find LCM of 671,969,516,902,614 with Prime Factorization
| 2 | 671, 969, 516, 902, 614 |
| 3 | 671, 969, 258, 451, 307 |
| 11 | 671, 323, 86, 451, 307 |
| 61, 323, 86, 41, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 61 x 323 x 86 x 41 x 307 = 1407657427836
Therefore, the lowest common multiple of 671,969,516,902,614 is 1407657427836.
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.
671 x 969 x 516 x 902 x 614 = 185810780474352
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.
671 : 1, 11, 61, 671
969 : 1, 3, 17, 19, 51, 57, 323, 969
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
902 : 1, 2, 11, 22, 41, 82, 451, 902
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,969,516,902,614, is 1.
Now, the common factors can be found like this.
671:11x 61
969:3x 17x 19
516:2x 2x 3x 43
902:2x 11x 41
614:2x 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 11 = 132
Therefore, the value for common factors is 132.
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 = 185810780474352/(1x132)
LCM = 185810780474352/132
LCM = 1407657427836
Thus, we can understand that the LCM of 671,969,516,902,614 is 1407657427836.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 671, 969, 516, 902, 614
1. What is the LCM of 671, 969, 516, 902, 614?
Answer: LCM of 671, 969, 516, 902, 614 is 1407657427836.
2. How to calculate the LCM of 671, 969, 516, 902, 614?
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 671, 969, 516, 902, 614.
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}.