LCM of 337, 895, 966, 771, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 337, 895, 966, 771, 345 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 337, 895, 966, 771, 345. So, keep reading to learn more.
Given numbers are 337,895,966,771,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,895,966,771,345 is 74879543130.
Find LCM of 337,895,966,771,345 with Prime Factorization
| 3 | 337, 895, 966, 771, 345 |
| 5 | 337, 895, 322, 257, 115 |
| 23 | 337, 179, 322, 257, 23 |
| 337, 179, 14, 257, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 337 x 179 x 14 x 257 x 1 = 74879543130
Therefore, the lowest common multiple of 337,895,966,771,345 is 74879543130.
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.
337 x 895 x 966 x 771 x 345 = 77500327139550
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.
337 : 1, 337
895 : 1, 5, 179, 895
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
771 : 1, 3, 257, 771
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,895,966,771,345, is 1.
Now, the common factors can be found like this.
337:337
895:5x 179
966:2x 3x 7x 23
771:3x 257
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 23 = 1035
Therefore, the value for common factors is 1035.
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 = 77500327139550/(1x1035)
LCM = 77500327139550/1035
LCM = 74879543130
Thus, we can understand that the LCM of 337,895,966,771,345 is 74879543130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 337, 895, 966, 771, 345
1. What is the LCM of 337, 895, 966, 771, 345?
Answer: LCM of 337, 895, 966, 771, 345 is 74879543130.
2. How to calculate the LCM of 337, 895, 966, 771, 345?
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 337, 895, 966, 771, 345.
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}.