LCM of 705, 352, 517, 418
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 352, 517, 418 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 705, 352, 517, 418. So, keep reading to learn more.
Given numbers are 705,352,517,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,352,517,418 is 4715040.
Find LCM of 705,352,517,418 with Prime Factorization
| 2 | 705, 352, 517, 418 |
| 11 | 705, 176, 517, 209 |
| 47 | 705, 16, 47, 19 |
| 15, 16, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 47 x 15 x 16 x 1 x 19 = 4715040
Therefore, the lowest common multiple of 705,352,517,418 is 4715040.
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.
705 x 352 x 517 x 418 = 53628864960
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
517 : 1, 11, 47, 517
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,352,517,418, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
352:2x 2x 2x 2x 2x 11
517:11x 47
418:2x 11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11x 47 = 11374
Therefore, the value for common factors is 11374.
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 = 53628864960/(1x11374)
LCM = 53628864960/11374
LCM = 4715040
Thus, we can understand that the LCM of 705,352,517,418 is 4715040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 352, 517, 418
1. What is the LCM of 705, 352, 517, 418?
Answer: LCM of 705, 352, 517, 418 is 4715040.
2. How to calculate the LCM of 705, 352, 517, 418?
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 705, 352, 517, 418.
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}.