LCM of 763, 144, 600, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 144, 600, 704 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 763, 144, 600, 704. So, keep reading to learn more.
Given numbers are 763,144,600,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,144,600,704 is 120859200.
Find LCM of 763,144,600,704 with Prime Factorization
| 2 | 763, 144, 600, 704 |
| 2 | 763, 72, 300, 352 |
| 2 | 763, 36, 150, 176 |
| 2 | 763, 18, 75, 88 |
| 3 | 763, 9, 75, 44 |
| 763, 3, 25, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 763 x 3 x 25 x 44 = 120859200
Therefore, the lowest common multiple of 763,144,600,704 is 120859200.
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.
763 x 144 x 600 x 704 = 46409932800
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.
763 : 1, 7, 109, 763
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,144,600,704, is 1.
Now, the common factors can be found like this.
763:7x 109
144:2x 2x 2x 2x 3x 3
600:2x 2x 2x 3x 5x 5
704:2x 2x 2x 2x 2x 2x 11
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 2x 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 46409932800/(1x384)
LCM = 46409932800/384
LCM = 120859200
Thus, we can understand that the LCM of 763,144,600,704 is 120859200.
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FAQs on LCM of 763, 144, 600, 704
1. What is the LCM of 763, 144, 600, 704?
Answer: LCM of 763, 144, 600, 704 is 120859200.
2. How to calculate the LCM of 763, 144, 600, 704?
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 763, 144, 600, 704.
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}.