LCM of 784, 654, 666, 782, 679
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 654, 666, 782, 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 784, 654, 666, 782, 679. So, keep reading to learn more.
Given numbers are 784,654,666,782,679
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,654,666,782,679 is 1079282874096.
Find LCM of 784,654,666,782,679 with Prime Factorization
| 2 | 784, 654, 666, 782, 679 |
| 3 | 392, 327, 333, 391, 679 |
| 7 | 392, 109, 111, 391, 679 |
| 56, 109, 111, 391, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 56 x 109 x 111 x 391 x 97 = 1079282874096
Therefore, the lowest common multiple of 784,654,666,782,679 is 1079282874096.
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.
784 x 654 x 666 x 782 x 679 = 181319522848128
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
654 : 1, 2, 3, 6, 109, 218, 327, 654
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
782 : 1, 2, 17, 23, 34, 46, 391, 782
679 : 1, 7, 97, 679
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,654,666,782,679, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
654:2x 3x 109
666:2x 3x 3x 37
782:2x 17x 23
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 181319522848128/(1x168)
LCM = 181319522848128/168
LCM = 1079282874096
Thus, we can understand that the LCM of 784,654,666,782,679 is 1079282874096.
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FAQs on LCM of 784, 654, 666, 782, 679
1. What is the LCM of 784, 654, 666, 782, 679?
Answer: LCM of 784, 654, 666, 782, 679 is 1079282874096.
2. How to calculate the LCM of 784, 654, 666, 782, 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 784, 654, 666, 782, 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}.