LCM of 398, 222, 740, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 222, 740, 518 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 398, 222, 740, 518. So, keep reading to learn more.
Given numbers are 398,222,740,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,222,740,518 is 3092460.
Find LCM of 398,222,740,518 with Prime Factorization
| 2 | 398, 222, 740, 518 |
| 37 | 199, 111, 370, 259 |
| 199, 3, 10, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 199 x 3 x 10 x 7 = 3092460
Therefore, the lowest common multiple of 398,222,740,518 is 3092460.
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.
398 x 222 x 740 x 518 = 33868621920
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.
398 : 1, 2, 199, 398
222 : 1, 2, 3, 6, 37, 74, 111, 222
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
518 : 1, 2, 7, 14, 37, 74, 259, 518
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,222,740,518, is 2.
Now, the common factors can be found like this.
398:2x 199
222:2x 3x 37
740:2x 2x 5x 37
518:2x 7x 37
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 37x 37 = 5476
Therefore, the value for common factors is 5476.
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 = 33868621920/(2x5476)
LCM = 33868621920/10952
LCM = 3092460
Thus, we can understand that the LCM of 398,222,740,518 is 3092460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 398, 222, 740, 518
1. What is the LCM of 398, 222, 740, 518?
Answer: LCM of 398, 222, 740, 518 is 3092460.
2. How to calculate the LCM of 398, 222, 740, 518?
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 398, 222, 740, 518.
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}.