LCM of 319, 443, 680, 935, 679
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 443, 680, 935, 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 319, 443, 680, 935, 679. So, keep reading to learn more.
Given numbers are 319,443,680,935,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,443,680,935,679 is 65248885240.
Find LCM of 319,443,680,935,679 with Prime Factorization
| 5 | 319, 443, 680, 935, 679 |
| 11 | 319, 443, 136, 187, 679 |
| 17 | 29, 443, 136, 17, 679 |
| 29, 443, 8, 1, 679 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 17 x 29 x 443 x 8 x 1 x 679 = 65248885240
Therefore, the lowest common multiple of 319,443,680,935,679 is 65248885240.
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.
319 x 443 x 680 x 935 x 679 = 61007707699400
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.
319 : 1, 11, 29, 319
443 : 1, 443
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
935 : 1, 5, 11, 17, 55, 85, 187, 935
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,443,680,935,679, is 1.
Now, the common factors can be found like this.
319:11x 29
443:443
680:2x 2x 2x 5x 17
935:5x 11x 17
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.
5x 11x 17 = 935
Therefore, the value for common factors is 935.
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 = 61007707699400/(1x935)
LCM = 61007707699400/935
LCM = 65248885240
Thus, we can understand that the LCM of 319,443,680,935,679 is 65248885240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 319, 443, 680, 935, 679
1. What is the LCM of 319, 443, 680, 935, 679?
Answer: LCM of 319, 443, 680, 935, 679 is 65248885240.
2. How to calculate the LCM of 319, 443, 680, 935, 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 319, 443, 680, 935, 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}.