LCM of 525, 867, 276, 322, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 867, 276, 322, 107 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 525, 867, 276, 322, 107. So, keep reading to learn more.
Given numbers are 525,867,276,322,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,867,276,322,107 is 1493580900.
Find LCM of 525,867,276,322,107 with Prime Factorization
| 2 | 525, 867, 276, 322, 107 |
| 3 | 525, 867, 138, 161, 107 |
| 7 | 175, 289, 46, 161, 107 |
| 23 | 25, 289, 46, 23, 107 |
| 25, 289, 2, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 25 x 289 x 2 x 1 x 107 = 1493580900
Therefore, the lowest common multiple of 525,867,276,322,107 is 1493580900.
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.
525 x 867 x 276 x 322 x 107 = 4328397448200
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
867 : 1, 3, 17, 51, 289, 867
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
322 : 1, 2, 7, 14, 23, 46, 161, 322
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,867,276,322,107, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
867:3x 17x 17
276:2x 2x 3x 23
322:2x 7x 23
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 23 = 2898
Therefore, the value for common factors is 2898.
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 = 4328397448200/(1x2898)
LCM = 4328397448200/2898
LCM = 1493580900
Thus, we can understand that the LCM of 525,867,276,322,107 is 1493580900.
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FAQs on LCM of 525, 867, 276, 322, 107
1. What is the LCM of 525, 867, 276, 322, 107?
Answer: LCM of 525, 867, 276, 322, 107 is 1493580900.
2. How to calculate the LCM of 525, 867, 276, 322, 107?
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 525, 867, 276, 322, 107.
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}.