LCM of 762, 784, 685, 572, 679
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 784, 685, 572, 679 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, 784, 685, 572, 679. So, keep reading to learn more.
Given numbers are 762,784,685,572,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,784,685,572,679 is 2838176381040.
Find LCM of 762,784,685,572,679 with Prime Factorization
| 2 | 762, 784, 685, 572, 679 |
| 2 | 381, 392, 685, 286, 679 |
| 7 | 381, 196, 685, 143, 679 |
| 381, 28, 685, 143, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 381 x 28 x 685 x 143 x 97 = 2838176381040
Therefore, the lowest common multiple of 762,784,685,572,679 is 2838176381040.
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 784 x 685 x 572 x 679 = 158937877338240
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
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
685 : 1, 5, 137, 685
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,784,685,572,679, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
784:2x 2x 2x 2x 7x 7
685:5x 137
572:2x 2x 11x 13
679:7x 97
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 7 = 56
Therefore, the value for common factors is 56.
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 = 158937877338240/(1x56)
LCM = 158937877338240/56
LCM = 2838176381040
Thus, we can understand that the LCM of 762,784,685,572,679 is 2838176381040.
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FAQs on LCM of 762, 784, 685, 572, 679
1. What is the LCM of 762, 784, 685, 572, 679?
Answer: LCM of 762, 784, 685, 572, 679 is 2838176381040.
2. How to calculate the LCM of 762, 784, 685, 572, 679?
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, 784, 685, 572, 679.
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}.