LCM of 619, 992, 755, 755, 498
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 619, 992, 755, 755, 498 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 619, 992, 755, 755, 498. So, keep reading to learn more.
Given numbers are 619,992,755,755,498
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 619,992,755,755,498 is 115437953760.
Find LCM of 619,992,755,755,498 with Prime Factorization
| 2 | 619, 992, 755, 755, 498 |
| 5 | 619, 496, 755, 755, 249 |
| 151 | 619, 496, 151, 151, 249 |
| 619, 496, 1, 1, 249 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 151 x 619 x 496 x 1 x 1 x 249 = 115437953760
Therefore, the lowest common multiple of 619,992,755,755,498 is 115437953760.
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.
619 x 992 x 755 x 755 x 498 = 174311310177600
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.
619 : 1, 619
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
755 : 1, 5, 151, 755
755 : 1, 5, 151, 755
498 : 1, 2, 3, 6, 83, 166, 249, 498
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,992,755,755,498, is 1.
Now, the common factors can be found like this.
619:619
992:2x 2x 2x 2x 2x 31
755:5x 151
755:5x 151
498:2x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 151 = 1510
Therefore, the value for common factors is 1510.
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 = 174311310177600/(1x1510)
LCM = 174311310177600/1510
LCM = 115437953760
Thus, we can understand that the LCM of 619,992,755,755,498 is 115437953760.
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FAQs on LCM of 619, 992, 755, 755, 498
1. What is the LCM of 619, 992, 755, 755, 498?
Answer: LCM of 619, 992, 755, 755, 498 is 115437953760.
2. How to calculate the LCM of 619, 992, 755, 755, 498?
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 619, 992, 755, 755, 498.
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}.