LCM of 769, 527, 720, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 769, 527, 720, 930 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 769, 527, 720, 930. So, keep reading to learn more.
Given numbers are 769,527,720,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,527,720,930 is 291789360.
Find LCM of 769,527,720,930 with Prime Factorization
| 2 | 769, 527, 720, 930 |
| 3 | 769, 527, 360, 465 |
| 5 | 769, 527, 120, 155 |
| 31 | 769, 527, 24, 31 |
| 769, 17, 24, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 769 x 17 x 24 x 1 = 291789360
Therefore, the lowest common multiple of 769,527,720,930 is 291789360.
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.
769 x 527 x 720 x 930 = 271364104800
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.
769 : 1, 769
527 : 1, 17, 31, 527
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,527,720,930, is 1.
Now, the common factors can be found like this.
769:769
527:17x 31
720:2x 2x 2x 2x 3x 3x 5
930:2x 3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 31 = 930
Therefore, the value for common factors is 930.
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 = 271364104800/(1x930)
LCM = 271364104800/930
LCM = 291789360
Thus, we can understand that the LCM of 769,527,720,930 is 291789360.
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FAQs on LCM of 769, 527, 720, 930
1. What is the LCM of 769, 527, 720, 930?
Answer: LCM of 769, 527, 720, 930 is 291789360.
2. How to calculate the LCM of 769, 527, 720, 930?
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 769, 527, 720, 930.
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}.