LCM of 125, 490, 973, 468, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 125, 490, 973, 468, 546 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 125, 490, 973, 468, 546. So, keep reading to learn more.
Given numbers are 125,490,973,468,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,490,973,468,546 is 398443500.
Find LCM of 125,490,973,468,546 with Prime Factorization
| 2 | 125, 490, 973, 468, 546 |
| 3 | 125, 245, 973, 234, 273 |
| 5 | 125, 245, 973, 78, 91 |
| 7 | 25, 49, 973, 78, 91 |
| 13 | 25, 7, 139, 78, 13 |
| 25, 7, 139, 6, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 25 x 7 x 139 x 6 x 1 = 398443500
Therefore, the lowest common multiple of 125,490,973,468,546 is 398443500.
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.
125 x 490 x 973 x 468 x 546 = 15228510570000
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.
125 : 1, 5, 25, 125
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
973 : 1, 7, 139, 973
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,490,973,468,546, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
490:2x 5x 7x 7
973:7x 139
468:2x 2x 3x 3x 13
546:2x 3x 7x 13
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 5x 7x 7x 13 = 38220
Therefore, the value for common factors is 38220.
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 = 15228510570000/(1x38220)
LCM = 15228510570000/38220
LCM = 398443500
Thus, we can understand that the LCM of 125,490,973,468,546 is 398443500.
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FAQs on LCM of 125, 490, 973, 468, 546
1. What is the LCM of 125, 490, 973, 468, 546?
Answer: LCM of 125, 490, 973, 468, 546 is 398443500.
2. How to calculate the LCM of 125, 490, 973, 468, 546?
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 125, 490, 973, 468, 546.
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}.