LCM of 737, 746, 209, 378, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 737, 746, 209, 378, 905 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 737, 746, 209, 378, 905. So, keep reading to learn more.
Given numbers are 737,746,209,378,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 737,746,209,378,905 is 1786776778710.
Find LCM of 737,746,209,378,905 with Prime Factorization
| 2 | 737, 746, 209, 378, 905 |
| 11 | 737, 373, 209, 189, 905 |
| 67, 373, 19, 189, 905 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 67 x 373 x 19 x 189 x 905 = 1786776778710
Therefore, the lowest common multiple of 737,746,209,378,905 is 1786776778710.
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.
737 x 746 x 209 x 378 x 905 = 39309089131620
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.
737 : 1, 11, 67, 737
746 : 1, 2, 373, 746
209 : 1, 11, 19, 209
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,746,209,378,905, is 1.
Now, the common factors can be found like this.
737:11x 67
746:2x 373
209:11x 19
378:2x 3x 3x 3x 7
905:5x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 39309089131620/(1x22)
LCM = 39309089131620/22
LCM = 1786776778710
Thus, we can understand that the LCM of 737,746,209,378,905 is 1786776778710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 737, 746, 209, 378, 905
1. What is the LCM of 737, 746, 209, 378, 905?
Answer: LCM of 737, 746, 209, 378, 905 is 1786776778710.
2. How to calculate the LCM of 737, 746, 209, 378, 905?
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 737, 746, 209, 378, 905.
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}.