LCM of 714, 618, 517, 456, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 618, 517, 456, 392 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 714, 618, 517, 456, 392. So, keep reading to learn more.
Given numbers are 714,618,517,456,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,618,517,456,392 is 20227285848.
Find LCM of 714,618,517,456,392 with Prime Factorization
| 2 | 714, 618, 517, 456, 392 |
| 2 | 357, 309, 517, 228, 196 |
| 2 | 357, 309, 517, 114, 98 |
| 3 | 357, 309, 517, 57, 49 |
| 7 | 119, 103, 517, 19, 49 |
| 17, 103, 517, 19, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 17 x 103 x 517 x 19 x 7 = 20227285848
Therefore, the lowest common multiple of 714,618,517,456,392 is 20227285848.
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.
714 x 618 x 517 x 456 x 392 = 40778208269568
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
618 : 1, 2, 3, 6, 103, 206, 309, 618
517 : 1, 11, 47, 517
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,618,517,456,392, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
618:2x 3x 103
517:11x 47
456:2x 2x 2x 3x 19
392:2x 2x 2x 7x 7
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 3x 3x 7 = 2016
Therefore, the value for common factors is 2016.
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 = 40778208269568/(1x2016)
LCM = 40778208269568/2016
LCM = 20227285848
Thus, we can understand that the LCM of 714,618,517,456,392 is 20227285848.
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FAQs on LCM of 714, 618, 517, 456, 392
1. What is the LCM of 714, 618, 517, 456, 392?
Answer: LCM of 714, 618, 517, 456, 392 is 20227285848.
2. How to calculate the LCM of 714, 618, 517, 456, 392?
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 714, 618, 517, 456, 392.
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}.