LCM of 962, 738, 768, 498, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 738, 768, 498, 380 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 962, 738, 768, 498, 380. So, keep reading to learn more.
Given numbers are 962,738,768,498,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,738,768,498,380 is 358272195840.
Find LCM of 962,738,768,498,380 with Prime Factorization
| 2 | 962, 738, 768, 498, 380 |
| 2 | 481, 369, 384, 249, 190 |
| 3 | 481, 369, 192, 249, 95 |
| 481, 123, 64, 83, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 481 x 123 x 64 x 83 x 95 = 358272195840
Therefore, the lowest common multiple of 962,738,768,498,380 is 358272195840.
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.
962 x 738 x 768 x 498 x 380 = 103182392401920
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
498 : 1, 2, 3, 6, 83, 166, 249, 498
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,738,768,498,380, is 2.
Now, the common factors can be found like this.
962:2x 13x 37
738:2x 3x 3x 41
768:2x 2x 2x 2x 2x 2x 2x 2x 3
498:2x 3x 83
380:2x 2x 5x 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 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 103182392401920/(2x144)
LCM = 103182392401920/288
LCM = 358272195840
Thus, we can understand that the LCM of 962,738,768,498,380 is 358272195840.
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FAQs on LCM of 962, 738, 768, 498, 380
1. What is the LCM of 962, 738, 768, 498, 380?
Answer: LCM of 962, 738, 768, 498, 380 is 358272195840.
2. How to calculate the LCM of 962, 738, 768, 498, 380?
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 962, 738, 768, 498, 380.
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}.