LCM of 417, 714, 340, 804, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 417, 714, 340, 804, 951 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 417, 714, 340, 804, 951. So, keep reading to learn more.
Given numbers are 417,714,340,804,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,714,340,804,951 is 21078857940.
Find LCM of 417,714,340,804,951 with Prime Factorization
| 2 | 417, 714, 340, 804, 951 |
| 2 | 417, 357, 170, 402, 951 |
| 3 | 417, 357, 85, 201, 951 |
| 17 | 139, 119, 85, 67, 317 |
| 139, 7, 5, 67, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 139 x 7 x 5 x 67 x 317 = 21078857940
Therefore, the lowest common multiple of 417,714,340,804,951 is 21078857940.
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.
417 x 714 x 340 x 804 x 951 = 77401566355680
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.
417 : 1, 3, 139, 417
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,714,340,804,951, is 1.
Now, the common factors can be found like this.
417:3x 139
714:2x 3x 7x 17
340:2x 2x 5x 17
804:2x 2x 3x 67
951:3x 317
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 3x 3x 3x 17 = 3672
Therefore, the value for common factors is 3672.
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 = 77401566355680/(1x3672)
LCM = 77401566355680/3672
LCM = 21078857940
Thus, we can understand that the LCM of 417,714,340,804,951 is 21078857940.
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FAQs on LCM of 417, 714, 340, 804, 951
1. What is the LCM of 417, 714, 340, 804, 951?
Answer: LCM of 417, 714, 340, 804, 951 is 21078857940.
2. How to calculate the LCM of 417, 714, 340, 804, 951?
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 417, 714, 340, 804, 951.
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}.