LCM of 747, 919, 705, 754, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 919, 705, 754, 508 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 747, 919, 705, 754, 508. So, keep reading to learn more.
Given numbers are 747,919,705,754,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,919,705,754,508 is 30896482446180.
Find LCM of 747,919,705,754,508 with Prime Factorization
| 2 | 747, 919, 705, 754, 508 |
| 3 | 747, 919, 705, 377, 254 |
| 249, 919, 235, 377, 254 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 249 x 919 x 235 x 377 x 254 = 30896482446180
Therefore, the lowest common multiple of 747,919,705,754,508 is 30896482446180.
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.
747 x 919 x 705 x 754 x 508 = 185378894677080
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.
747 : 1, 3, 9, 83, 249, 747
919 : 1, 919
705 : 1, 3, 5, 15, 47, 141, 235, 705
754 : 1, 2, 13, 26, 29, 58, 377, 754
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,919,705,754,508, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
919:919
705:3x 5x 47
754:2x 13x 29
508:2x 2x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 185378894677080/(1x6)
LCM = 185378894677080/6
LCM = 30896482446180
Thus, we can understand that the LCM of 747,919,705,754,508 is 30896482446180.
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FAQs on LCM of 747, 919, 705, 754, 508
1. What is the LCM of 747, 919, 705, 754, 508?
Answer: LCM of 747, 919, 705, 754, 508 is 30896482446180.
2. How to calculate the LCM of 747, 919, 705, 754, 508?
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 747, 919, 705, 754, 508.
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}.