LCM of 746, 363, 410, 313, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 363, 410, 313, 902 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 746, 363, 410, 313, 902. So, keep reading to learn more.
Given numbers are 746,363,410,313,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,363,410,313,902 is 17375753670.
Find LCM of 746,363,410,313,902 with Prime Factorization
| 2 | 746, 363, 410, 313, 902 |
| 11 | 373, 363, 205, 313, 451 |
| 41 | 373, 33, 205, 313, 41 |
| 373, 33, 5, 313, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 373 x 33 x 5 x 313 x 1 = 17375753670
Therefore, the lowest common multiple of 746,363,410,313,902 is 17375753670.
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.
746 x 363 x 410 x 313 x 902 = 31345859620680
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.
746 : 1, 2, 373, 746
363 : 1, 3, 11, 33, 121, 363
410 : 1, 2, 5, 10, 41, 82, 205, 410
313 : 1, 313
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,363,410,313,902, is 1.
Now, the common factors can be found like this.
746:2x 373
363:3x 11x 11
410:2x 5x 41
313:313
902:2x 11x 41
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 11x 41 = 1804
Therefore, the value for common factors is 1804.
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 = 31345859620680/(1x1804)
LCM = 31345859620680/1804
LCM = 17375753670
Thus, we can understand that the LCM of 746,363,410,313,902 is 17375753670.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 746, 363, 410, 313, 902
1. What is the LCM of 746, 363, 410, 313, 902?
Answer: LCM of 746, 363, 410, 313, 902 is 17375753670.
2. How to calculate the LCM of 746, 363, 410, 313, 902?
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 746, 363, 410, 313, 902.
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}.