LCM of 125, 228, 724, 799, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 125, 228, 724, 799, 654 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, 228, 724, 799, 654. So, keep reading to learn more.
Given numbers are 125,228,724,799,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 125,228,724,799,654 is 449258923500.
Find LCM of 125,228,724,799,654 with Prime Factorization
| 2 | 125, 228, 724, 799, 654 |
| 2 | 125, 114, 362, 799, 327 |
| 3 | 125, 57, 181, 799, 327 |
| 125, 19, 181, 799, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 125 x 19 x 181 x 799 x 109 = 449258923500
Therefore, the lowest common multiple of 125,228,724,799,654 is 449258923500.
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 228 x 724 x 799 x 654 = 10782214164000
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
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
724 : 1, 2, 4, 181, 362, 724
799 : 1, 17, 47, 799
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,228,724,799,654, is 1.
Now, the common factors can be found like this.
125:5x 5x 5
228:2x 2x 3x 19
724:2x 2x 181
799:17x 47
654:2x 3x 109
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 3 = 24
Therefore, the value for common factors is 24.
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 = 10782214164000/(1x24)
LCM = 10782214164000/24
LCM = 449258923500
Thus, we can understand that the LCM of 125,228,724,799,654 is 449258923500.
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FAQs on LCM of 125, 228, 724, 799, 654
1. What is the LCM of 125, 228, 724, 799, 654?
Answer: LCM of 125, 228, 724, 799, 654 is 449258923500.
2. How to calculate the LCM of 125, 228, 724, 799, 654?
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, 228, 724, 799, 654.
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}.