LCM of 338, 822, 666, 370
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 822, 666, 370 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 338, 822, 666, 370. So, keep reading to learn more.
Given numbers are 338,822,666,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,822,666,370 is 77099490.
Find LCM of 338,822,666,370 with Prime Factorization
| 2 | 338, 822, 666, 370 |
| 3 | 169, 411, 333, 185 |
| 37 | 169, 137, 111, 185 |
| 169, 137, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 169 x 137 x 3 x 5 = 77099490
Therefore, the lowest common multiple of 338,822,666,370 is 77099490.
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.
338 x 822 x 666 x 370 = 68464347120
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.
338 : 1, 2, 13, 26, 169, 338
822 : 1, 2, 3, 6, 137, 274, 411, 822
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
370 : 1, 2, 5, 10, 37, 74, 185, 370
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,822,666,370, is 2.
Now, the common factors can be found like this.
338:2x 13x 13
822:2x 3x 137
666:2x 3x 3x 37
370:2x 5x 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 3x 37 = 444
Therefore, the value for common factors is 444.
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 = 68464347120/(2x444)
LCM = 68464347120/888
LCM = 77099490
Thus, we can understand that the LCM of 338,822,666,370 is 77099490.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 338, 822, 666, 370
1. What is the LCM of 338, 822, 666, 370?
Answer: LCM of 338, 822, 666, 370 is 77099490.
2. How to calculate the LCM of 338, 822, 666, 370?
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 338, 822, 666, 370.
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}.