LCM of 749, 171, 418, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 171, 418, 342 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 749, 171, 418, 342. So, keep reading to learn more.
Given numbers are 749,171,418,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,171,418,342 is 2817738.
Find LCM of 749,171,418,342 with Prime Factorization
| 2 | 749, 171, 418, 342 |
| 3 | 749, 171, 209, 171 |
| 3 | 749, 57, 209, 57 |
| 19 | 749, 19, 209, 19 |
| 749, 1, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 749 x 1 x 11 x 1 = 2817738
Therefore, the lowest common multiple of 749,171,418,342 is 2817738.
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.
749 x 171 x 418 x 342 = 18309661524
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.
749 : 1, 7, 107, 749
171 : 1, 3, 9, 19, 57, 171
418 : 1, 2, 11, 19, 22, 38, 209, 418
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,171,418,342, is 1.
Now, the common factors can be found like this.
749:7x 107
171:3x 3x 19
418:2x 11x 19
342:2x 3x 3x 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 3x 3x 19x 19 = 6498
Therefore, the value for common factors is 6498.
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 = 18309661524/(1x6498)
LCM = 18309661524/6498
LCM = 2817738
Thus, we can understand that the LCM of 749,171,418,342 is 2817738.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 749, 171, 418, 342
1. What is the LCM of 749, 171, 418, 342?
Answer: LCM of 749, 171, 418, 342 is 2817738.
2. How to calculate the LCM of 749, 171, 418, 342?
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 749, 171, 418, 342.
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}.