LCM of 735, 341, 869, 235
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 341, 869, 235 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, 341, 869, 235. So, keep reading to learn more.
Given numbers are 735,341,869,235
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,341,869,235 is 930607755.
Find LCM of 735,341,869,235 with Prime Factorization
| 5 | 735, 341, 869, 235 |
| 11 | 147, 341, 869, 47 |
| 147, 31, 79, 47 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 147 x 31 x 79 x 47 = 930607755
Therefore, the lowest common multiple of 735,341,869,235 is 930607755.
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 341 x 869 x 235 = 51183426525
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
341 : 1, 11, 31, 341
869 : 1, 11, 79, 869
235 : 1, 5, 47, 235
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,341,869,235, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
341:11x 31
869:11x 79
235:5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11 = 55
Therefore, the value for common factors is 55.
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 = 51183426525/(1x55)
LCM = 51183426525/55
LCM = 930607755
Thus, we can understand that the LCM of 735,341,869,235 is 930607755.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 735, 341, 869, 235
1. What is the LCM of 735, 341, 869, 235?
Answer: LCM of 735, 341, 869, 235 is 930607755.
2. How to calculate the LCM of 735, 341, 869, 235?
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, 341, 869, 235.
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}.