LCM of 760, 998, 512, 638, 718
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 998, 512, 638, 718 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, 998, 512, 638, 718. So, keep reading to learn more.
Given numbers are 760,998,512,638,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,998,512,638,718 is 2779580418560.
Find LCM of 760,998,512,638,718 with Prime Factorization
| 2 | 760, 998, 512, 638, 718 |
| 2 | 380, 499, 256, 319, 359 |
| 2 | 190, 499, 128, 319, 359 |
| 95, 499, 64, 319, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 95 x 499 x 64 x 319 x 359 = 2779580418560
Therefore, the lowest common multiple of 760,998,512,638,718 is 2779580418560.
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 998 x 512 x 638 x 718 = 177893146787840
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
998 : 1, 2, 499, 998
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
638 : 1, 2, 11, 22, 29, 58, 319, 638
718 : 1, 2, 359, 718
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,998,512,638,718, is 2.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
998:2x 499
512:2x 2x 2x 2x 2x 2x 2x 2x 2
638:2x 11x 29
718:2x 359
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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 177893146787840/(2x32)
LCM = 177893146787840/64
LCM = 2779580418560
Thus, we can understand that the LCM of 760,998,512,638,718 is 2779580418560.
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FAQs on LCM of 760, 998, 512, 638, 718
1. What is the LCM of 760, 998, 512, 638, 718?
Answer: LCM of 760, 998, 512, 638, 718 is 2779580418560.
2. How to calculate the LCM of 760, 998, 512, 638, 718?
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, 998, 512, 638, 718.
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}.