LCM of 910, 835, 413, 506, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 910, 835, 413, 506, 735 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 910, 835, 413, 506, 735. So, keep reading to learn more.
Given numbers are 910,835,413,506,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,835,413,506,735 is 47637579990.
Find LCM of 910,835,413,506,735 with Prime Factorization
| 2 | 910, 835, 413, 506, 735 |
| 5 | 455, 835, 413, 253, 735 |
| 7 | 91, 167, 413, 253, 147 |
| 13, 167, 59, 253, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 13 x 167 x 59 x 253 x 21 = 47637579990
Therefore, the lowest common multiple of 910,835,413,506,735 is 47637579990.
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.
910 x 835 x 413 x 506 x 735 = 116712070975500
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
835 : 1, 5, 167, 835
413 : 1, 7, 59, 413
506 : 1, 2, 11, 22, 23, 46, 253, 506
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,835,413,506,735, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
835:5x 167
413:7x 59
506:2x 11x 23
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 7x 7 = 2450
Therefore, the value for common factors is 2450.
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 = 116712070975500/(1x2450)
LCM = 116712070975500/2450
LCM = 47637579990
Thus, we can understand that the LCM of 910,835,413,506,735 is 47637579990.
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FAQs on LCM of 910, 835, 413, 506, 735
1. What is the LCM of 910, 835, 413, 506, 735?
Answer: LCM of 910, 835, 413, 506, 735 is 47637579990.
2. How to calculate the LCM of 910, 835, 413, 506, 735?
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 910, 835, 413, 506, 735.
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}.