LCM of 518, 388, 298, 679
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 518, 388, 298, 679 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 518, 388, 298, 679. So, keep reading to learn more.
Given numbers are 518,388,298,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,388,298,679 is 14973308.
Find LCM of 518,388,298,679 with Prime Factorization
| 2 | 518, 388, 298, 679 |
| 7 | 259, 194, 149, 679 |
| 97 | 37, 194, 149, 97 |
| 37, 2, 149, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 97 x 37 x 2 x 149 x 1 = 14973308
Therefore, the lowest common multiple of 518,388,298,679 is 14973308.
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.
518 x 388 x 298 x 679 = 40667504528
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
388 : 1, 2, 4, 97, 194, 388
298 : 1, 2, 149, 298
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,388,298,679, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
388:2x 2x 97
298:2x 149
679:7x 97
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 7x 97 = 2716
Therefore, the value for common factors is 2716.
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 = 40667504528/(1x2716)
LCM = 40667504528/2716
LCM = 14973308
Thus, we can understand that the LCM of 518,388,298,679 is 14973308.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 518, 388, 298, 679
1. What is the LCM of 518, 388, 298, 679?
Answer: LCM of 518, 388, 298, 679 is 14973308.
2. How to calculate the LCM of 518, 388, 298, 679?
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 518, 388, 298, 679.
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}.