LCM of 738, 960, 319, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 738, 960, 319, 638 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 738, 960, 319, 638. So, keep reading to learn more.
Given numbers are 738,960,319,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,960,319,638 is 37667520.
Find LCM of 738,960,319,638 with Prime Factorization
| 2 | 738, 960, 319, 638 |
| 3 | 369, 480, 319, 319 |
| 11 | 123, 160, 319, 319 |
| 29 | 123, 160, 29, 29 |
| 123, 160, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 123 x 160 x 1 x 1 = 37667520
Therefore, the lowest common multiple of 738,960,319,638 is 37667520.
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.
738 x 960 x 319 x 638 = 144191266560
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
319 : 1, 11, 29, 319
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,960,319,638, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
960:2x 2x 2x 2x 2x 2x 3x 5
319:11x 29
638:2x 11x 29
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 3x 11x 29 = 3828
Therefore, the value for common factors is 3828.
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 = 144191266560/(1x3828)
LCM = 144191266560/3828
LCM = 37667520
Thus, we can understand that the LCM of 738,960,319,638 is 37667520.
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FAQs on LCM of 738, 960, 319, 638
1. What is the LCM of 738, 960, 319, 638?
Answer: LCM of 738, 960, 319, 638 is 37667520.
2. How to calculate the LCM of 738, 960, 319, 638?
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 738, 960, 319, 638.
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}.