LCM of 735, 902, 979, 681, 935
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 902, 979, 681, 935 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 735, 902, 979, 681, 935. So, keep reading to learn more.
Given numbers are 735,902,979,681,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,902,979,681,935 is 227697709470.
Find LCM of 735,902,979,681,935 with Prime Factorization
| 3 | 735, 902, 979, 681, 935 |
| 5 | 245, 902, 979, 227, 935 |
| 11 | 49, 902, 979, 227, 187 |
| 49, 82, 89, 227, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 49 x 82 x 89 x 227 x 17 = 227697709470
Therefore, the lowest common multiple of 735,902,979,681,935 is 227697709470.
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.
735 x 902 x 979 x 681 x 935 = 413271342688050
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
902 : 1, 2, 11, 22, 41, 82, 451, 902
979 : 1, 11, 89, 979
681 : 1, 3, 227, 681
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,902,979,681,935, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
902:2x 11x 41
979:11x 89
681:3x 227
935:5x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11x 11 = 1815
Therefore, the value for common factors is 1815.
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 = 413271342688050/(1x1815)
LCM = 413271342688050/1815
LCM = 227697709470
Thus, we can understand that the LCM of 735,902,979,681,935 is 227697709470.
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FAQs on LCM of 735, 902, 979, 681, 935
1. What is the LCM of 735, 902, 979, 681, 935?
Answer: LCM of 735, 902, 979, 681, 935 is 227697709470.
2. How to calculate the LCM of 735, 902, 979, 681, 935?
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 735, 902, 979, 681, 935.
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}.