LCM of 847, 615, 614, 972, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 615, 614, 972, 414 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 847, 615, 614, 972, 414. So, keep reading to learn more.
Given numbers are 847,615,614,972,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,615,614,972,414 is 1191707706420.
Find LCM of 847,615,614,972,414 with Prime Factorization
| 2 | 847, 615, 614, 972, 414 |
| 3 | 847, 615, 307, 486, 207 |
| 3 | 847, 205, 307, 162, 69 |
| 847, 205, 307, 54, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 847 x 205 x 307 x 54 x 23 = 1191707706420
Therefore, the lowest common multiple of 847,615,614,972,414 is 1191707706420.
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.
847 x 615 x 614 x 972 x 414 = 128704432293360
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.
847 : 1, 7, 11, 77, 121, 847
615 : 1, 3, 5, 15, 41, 123, 205, 615
614 : 1, 2, 307, 614
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,615,614,972,414, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
615:3x 5x 41
614:2x 307
972:2x 2x 3x 3x 3x 3x 3
414:2x 3x 3x 23
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 3 = 108
Therefore, the value for common factors is 108.
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 = 128704432293360/(1x108)
LCM = 128704432293360/108
LCM = 1191707706420
Thus, we can understand that the LCM of 847,615,614,972,414 is 1191707706420.
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FAQs on LCM of 847, 615, 614, 972, 414
1. What is the LCM of 847, 615, 614, 972, 414?
Answer: LCM of 847, 615, 614, 972, 414 is 1191707706420.
2. How to calculate the LCM of 847, 615, 614, 972, 414?
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 847, 615, 614, 972, 414.
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}.