LCM of 735, 335, 871, 470, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 335, 871, 470, 410 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, 335, 871, 470, 410. So, keep reading to learn more.
Given numbers are 735,335,871,470,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,335,871,470,410 is 2467272990.
Find LCM of 735,335,871,470,410 with Prime Factorization
| 2 | 735, 335, 871, 470, 410 |
| 5 | 735, 335, 871, 235, 205 |
| 67 | 147, 67, 871, 47, 41 |
| 147, 1, 13, 47, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 67 x 147 x 1 x 13 x 47 x 41 = 2467272990
Therefore, the lowest common multiple of 735,335,871,470,410 is 2467272990.
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 335 x 871 x 470 x 410 = 41326822582500
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
335 : 1, 5, 67, 335
871 : 1, 13, 67, 871
470 : 1, 2, 5, 10, 47, 94, 235, 470
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,335,871,470,410, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
335:5x 67
871:13x 67
470:2x 5x 47
410:2x 5x 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 5x 5x 5x 67 = 16750
Therefore, the value for common factors is 16750.
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 = 41326822582500/(1x16750)
LCM = 41326822582500/16750
LCM = 2467272990
Thus, we can understand that the LCM of 735,335,871,470,410 is 2467272990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 735, 335, 871, 470, 410
1. What is the LCM of 735, 335, 871, 470, 410?
Answer: LCM of 735, 335, 871, 470, 410 is 2467272990.
2. How to calculate the LCM of 735, 335, 871, 470, 410?
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, 335, 871, 470, 410.
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}.