LCM of 353, 588, 788, 931, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 353, 588, 788, 931, 912 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, 588, 788, 931, 912. So, keep reading to learn more.
Given numbers are 353,588,788,931,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 353,588,788,931,912 is 3107648208.
Find LCM of 353,588,788,931,912 with Prime Factorization
| 2 | 353, 588, 788, 931, 912 |
| 2 | 353, 294, 394, 931, 456 |
| 3 | 353, 147, 197, 931, 228 |
| 7 | 353, 49, 197, 931, 76 |
| 7 | 353, 7, 197, 133, 76 |
| 19 | 353, 1, 197, 19, 76 |
| 353, 1, 197, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 19 x 353 x 1 x 197 x 1 x 4 = 3107648208
Therefore, the lowest common multiple of 353,588,788,931,912 is 3107648208.
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 588 x 788 x 931 x 912 = 138874583119104
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
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
788 : 1, 2, 4, 197, 394, 788
931 : 1, 7, 19, 49, 133, 931
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,588,788,931,912, is 1.
Now, the common factors can be found like this.
353:353
588:2x 2x 3x 7x 7
788:2x 2x 197
931:7x 7x 19
912:2x 2x 2x 2x 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 2x 2x 2x 3x 7x 7x 19 = 44688
Therefore, the value for common factors is 44688.
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 = 138874583119104/(1x44688)
LCM = 138874583119104/44688
LCM = 3107648208
Thus, we can understand that the LCM of 353,588,788,931,912 is 3107648208.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 353, 588, 788, 931, 912
1. What is the LCM of 353, 588, 788, 931, 912?
Answer: LCM of 353, 588, 788, 931, 912 is 3107648208.
2. How to calculate the LCM of 353, 588, 788, 931, 912?
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, 588, 788, 931, 912.
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}.