LCM of 556, 138, 909, 675, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 138, 909, 675, 490 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 556, 138, 909, 675, 490. So, keep reading to learn more.
Given numbers are 556,138,909,675,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,138,909,675,490 is 42719273100.
Find LCM of 556,138,909,675,490 with Prime Factorization
| 2 | 556, 138, 909, 675, 490 |
| 3 | 278, 69, 909, 675, 245 |
| 3 | 278, 23, 303, 225, 245 |
| 5 | 278, 23, 101, 75, 245 |
| 278, 23, 101, 15, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 278 x 23 x 101 x 15 x 49 = 42719273100
Therefore, the lowest common multiple of 556,138,909,675,490 is 42719273100.
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.
556 x 138 x 909 x 675 x 490 = 23068407474000
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.
556 : 1, 2, 4, 139, 278, 556
138 : 1, 2, 3, 6, 23, 46, 69, 138
909 : 1, 3, 9, 101, 303, 909
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,138,909,675,490, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
138:2x 3x 23
909:3x 3x 101
675:3x 3x 3x 5x 5
490:2x 5x 7x 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 3x 3x 3x 5 = 540
Therefore, the value for common factors is 540.
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 = 23068407474000/(1x540)
LCM = 23068407474000/540
LCM = 42719273100
Thus, we can understand that the LCM of 556,138,909,675,490 is 42719273100.
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FAQs on LCM of 556, 138, 909, 675, 490
1. What is the LCM of 556, 138, 909, 675, 490?
Answer: LCM of 556, 138, 909, 675, 490 is 42719273100.
2. How to calculate the LCM of 556, 138, 909, 675, 490?
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 556, 138, 909, 675, 490.
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}.