LCM of 379, 600, 632, 144, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 600, 632, 144, 762 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 379, 600, 632, 144, 762. So, keep reading to learn more.
Given numbers are 379,600,632,144,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,600,632,144,762 is 13689025200.
Find LCM of 379,600,632,144,762 with Prime Factorization
| 2 | 379, 600, 632, 144, 762 |
| 2 | 379, 300, 316, 72, 381 |
| 2 | 379, 150, 158, 36, 381 |
| 3 | 379, 75, 79, 18, 381 |
| 379, 25, 79, 6, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 379 x 25 x 79 x 6 x 127 = 13689025200
Therefore, the lowest common multiple of 379,600,632,144,762 is 13689025200.
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.
379 x 600 x 632 x 144 x 762 = 15769757030400
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.
379 : 1, 379
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
632 : 1, 2, 4, 8, 79, 158, 316, 632
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,600,632,144,762, is 1.
Now, the common factors can be found like this.
379:379
600:2x 2x 2x 3x 5x 5
632:2x 2x 2x 79
144:2x 2x 2x 2x 3x 3
762:2x 3x 127
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 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 15769757030400/(1x1152)
LCM = 15769757030400/1152
LCM = 13689025200
Thus, we can understand that the LCM of 379,600,632,144,762 is 13689025200.
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FAQs on LCM of 379, 600, 632, 144, 762
1. What is the LCM of 379, 600, 632, 144, 762?
Answer: LCM of 379, 600, 632, 144, 762 is 13689025200.
2. How to calculate the LCM of 379, 600, 632, 144, 762?
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 379, 600, 632, 144, 762.
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}.