LCM of 784, 610, 138, 262, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 610, 138, 262, 420 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, 610, 138, 262, 420. So, keep reading to learn more.
Given numbers are 784,610,138,262,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,610,138,262,420 is 2161405680.
Find LCM of 784,610,138,262,420 with Prime Factorization
| 2 | 784, 610, 138, 262, 420 |
| 2 | 392, 305, 69, 131, 210 |
| 3 | 196, 305, 69, 131, 105 |
| 5 | 196, 305, 23, 131, 35 |
| 7 | 196, 61, 23, 131, 7 |
| 28, 61, 23, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 28 x 61 x 23 x 131 x 1 = 2161405680
Therefore, the lowest common multiple of 784,610,138,262,420 is 2161405680.
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 610 x 138 x 262 x 420 = 7262323084800
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
610 : 1, 2, 5, 10, 61, 122, 305, 610
138 : 1, 2, 3, 6, 23, 46, 69, 138
262 : 1, 2, 131, 262
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,610,138,262,420, is 2.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
610:2x 5x 61
138:2x 3x 23
262:2x 131
420:2x 2x 3x 5x 7
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 3x 5x 7 = 1680
Therefore, the value for common factors is 1680.
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 = 7262323084800/(2x1680)
LCM = 7262323084800/3360
LCM = 2161405680
Thus, we can understand that the LCM of 784,610,138,262,420 is 2161405680.
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FAQs on LCM of 784, 610, 138, 262, 420
1. What is the LCM of 784, 610, 138, 262, 420?
Answer: LCM of 784, 610, 138, 262, 420 is 2161405680.
2. How to calculate the LCM of 784, 610, 138, 262, 420?
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, 610, 138, 262, 420.
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}.