LCM of 760, 754, 754, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 754, 754, 247 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 760, 754, 754, 247. So, keep reading to learn more.
Given numbers are 760,754,754,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,754,754,247 is 286520.
Find LCM of 760,754,754,247 with Prime Factorization
| 2 | 760, 754, 754, 247 |
| 13 | 380, 377, 377, 247 |
| 19 | 380, 29, 29, 19 |
| 29 | 20, 29, 29, 1 |
| 20, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 29 x 20 x 1 x 1 x 1 = 286520
Therefore, the lowest common multiple of 760,754,754,247 is 286520.
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.
760 x 754 x 754 x 247 = 106721823520
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
754 : 1, 2, 13, 26, 29, 58, 377, 754
754 : 1, 2, 13, 26, 29, 58, 377, 754
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,754,754,247, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
754:2x 13x 29
754:2x 13x 29
247:13x 19
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 13x 13x 19x 29 = 372476
Therefore, the value for common factors is 372476.
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 = 106721823520/(1x372476)
LCM = 106721823520/372476
LCM = 286520
Thus, we can understand that the LCM of 760,754,754,247 is 286520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 760, 754, 754, 247
1. What is the LCM of 760, 754, 754, 247?
Answer: LCM of 760, 754, 754, 247 is 286520.
2. How to calculate the LCM of 760, 754, 754, 247?
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 760, 754, 754, 247.
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}.