LCM of 785, 722, 760, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 722, 760, 892 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 785, 722, 760, 892. So, keep reading to learn more.
Given numbers are 785,722,760,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,722,760,892 is 505558840.
Find LCM of 785,722,760,892 with Prime Factorization
| 2 | 785, 722, 760, 892 |
| 2 | 785, 361, 380, 446 |
| 5 | 785, 361, 190, 223 |
| 19 | 157, 361, 38, 223 |
| 157, 19, 2, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 157 x 19 x 2 x 223 = 505558840
Therefore, the lowest common multiple of 785,722,760,892 is 505558840.
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.
785 x 722 x 760 x 892 = 384224718400
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.
785 : 1, 5, 157, 785
722 : 1, 2, 19, 38, 361, 722
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,722,760,892, is 1.
Now, the common factors can be found like this.
785:5x 157
722:2x 19x 19
760:2x 2x 2x 5x 19
892:2x 2x 223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 19 = 760
Therefore, the value for common factors is 760.
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 = 384224718400/(1x760)
LCM = 384224718400/760
LCM = 505558840
Thus, we can understand that the LCM of 785,722,760,892 is 505558840.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 785, 722, 760, 892
1. What is the LCM of 785, 722, 760, 892?
Answer: LCM of 785, 722, 760, 892 is 505558840.
2. How to calculate the LCM of 785, 722, 760, 892?
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 785, 722, 760, 892.
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}.