LCM of 353, 243, 369, 886, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 353, 243, 369, 886, 378 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 353, 243, 369, 886, 378. So, keep reading to learn more.
Given numbers are 353,243,369,886,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,243,369,886,378 is 21812055678.
Find LCM of 353,243,369,886,378 with Prime Factorization
| 2 | 353, 243, 369, 886, 378 |
| 3 | 353, 243, 369, 443, 189 |
| 3 | 353, 81, 123, 443, 63 |
| 3 | 353, 27, 41, 443, 21 |
| 353, 9, 41, 443, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 353 x 9 x 41 x 443 x 7 = 21812055678
Therefore, the lowest common multiple of 353,243,369,886,378 is 21812055678.
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.
353 x 243 x 369 x 886 x 378 = 10600659059508
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.
353 : 1, 353
243 : 1, 3, 9, 27, 81, 243
369 : 1, 3, 9, 41, 123, 369
886 : 1, 2, 443, 886
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,243,369,886,378, is 1.
Now, the common factors can be found like this.
353:353
243:3x 3x 3x 3x 3
369:3x 3x 41
886:2x 443
378:2x 3x 3x 3x 7
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 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 10600659059508/(1x486)
LCM = 10600659059508/486
LCM = 21812055678
Thus, we can understand that the LCM of 353,243,369,886,378 is 21812055678.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 353, 243, 369, 886, 378
1. What is the LCM of 353, 243, 369, 886, 378?
Answer: LCM of 353, 243, 369, 886, 378 is 21812055678.
2. How to calculate the LCM of 353, 243, 369, 886, 378?
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 353, 243, 369, 886, 378.
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}.