LCM of 762, 471, 880, 784, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 471, 880, 784, 628 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 762, 471, 880, 784, 628. So, keep reading to learn more.
Given numbers are 762,471,880,784,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,471,880,784,628 is 2579309040.
Find LCM of 762,471,880,784,628 with Prime Factorization
| 2 | 762, 471, 880, 784, 628 |
| 2 | 381, 471, 440, 392, 314 |
| 2 | 381, 471, 220, 196, 157 |
| 2 | 381, 471, 110, 98, 157 |
| 3 | 381, 471, 55, 49, 157 |
| 157 | 127, 157, 55, 49, 157 |
| 127, 1, 55, 49, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 157 x 127 x 1 x 55 x 49 x 1 = 2579309040
Therefore, the lowest common multiple of 762,471,880,784,628 is 2579309040.
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.
762 x 471 x 880 x 784 x 628 = 155501383403520
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
471 : 1, 3, 157, 471
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,471,880,784,628, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
471:3x 157
880:2x 2x 2x 2x 5x 11
784:2x 2x 2x 2x 7x 7
628:2x 2x 157
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 157 = 60288
Therefore, the value for common factors is 60288.
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 = 155501383403520/(1x60288)
LCM = 155501383403520/60288
LCM = 2579309040
Thus, we can understand that the LCM of 762,471,880,784,628 is 2579309040.
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FAQs on LCM of 762, 471, 880, 784, 628
1. What is the LCM of 762, 471, 880, 784, 628?
Answer: LCM of 762, 471, 880, 784, 628 is 2579309040.
2. How to calculate the LCM of 762, 471, 880, 784, 628?
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 762, 471, 880, 784, 628.
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}.