LCM of 735, 785, 849, 859, 928
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 785, 849, 859, 928 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, 785, 849, 859, 928. So, keep reading to learn more.
Given numbers are 735,785,849,859,928
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,785,849,859,928 is 26032421476320.
Find LCM of 735,785,849,859,928 with Prime Factorization
| 3 | 735, 785, 849, 859, 928 |
| 5 | 245, 785, 283, 859, 928 |
| 49, 157, 283, 859, 928 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 49 x 157 x 283 x 859 x 928 = 26032421476320
Therefore, the lowest common multiple of 735,785,849,859,928 is 26032421476320.
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 785 x 849 x 859 x 928 = 390486322144800
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
785 : 1, 5, 157, 785
849 : 1, 3, 283, 849
859 : 1, 859
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,785,849,859,928, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
785:5x 157
849:3x 283
859:859
928:2x 2x 2x 2x 2x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 390486322144800/(1x15)
LCM = 390486322144800/15
LCM = 26032421476320
Thus, we can understand that the LCM of 735,785,849,859,928 is 26032421476320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 735, 785, 849, 859, 928
1. What is the LCM of 735, 785, 849, 859, 928?
Answer: LCM of 735, 785, 849, 859, 928 is 26032421476320.
2. How to calculate the LCM of 735, 785, 849, 859, 928?
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, 785, 849, 859, 928.
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}.