LCM of 337, 363, 394, 690, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 337, 363, 394, 690, 770 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, 363, 394, 690, 770. So, keep reading to learn more.
Given numbers are 337,363,394,690,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,363,394,690,770 is 38799723270.
Find LCM of 337,363,394,690,770 with Prime Factorization
| 2 | 337, 363, 394, 690, 770 |
| 3 | 337, 363, 197, 345, 385 |
| 5 | 337, 121, 197, 115, 385 |
| 11 | 337, 121, 197, 23, 77 |
| 337, 11, 197, 23, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 337 x 11 x 197 x 23 x 7 = 38799723270
Therefore, the lowest common multiple of 337,363,394,690,770 is 38799723270.
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 363 x 394 x 690 x 770 = 25607817358200
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
363 : 1, 3, 11, 33, 121, 363
394 : 1, 2, 197, 394
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,363,394,690,770, is 1.
Now, the common factors can be found like this.
337:337
363:3x 11x 11
394:2x 197
690:2x 3x 5x 23
770:2x 5x 7x 11
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 5x 11 = 660
Therefore, the value for common factors is 660.
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 = 25607817358200/(1x660)
LCM = 25607817358200/660
LCM = 38799723270
Thus, we can understand that the LCM of 337,363,394,690,770 is 38799723270.
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FAQs on LCM of 337, 363, 394, 690, 770
1. What is the LCM of 337, 363, 394, 690, 770?
Answer: LCM of 337, 363, 394, 690, 770 is 38799723270.
2. How to calculate the LCM of 337, 363, 394, 690, 770?
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, 363, 394, 690, 770.
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}.