LCM of 169, 425, 425, 242, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 425, 425, 242, 528 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 169, 425, 425, 242, 528. So, keep reading to learn more.
Given numbers are 169,425,425,242,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,425,425,242,528 is 417159600.
Find LCM of 169,425,425,242,528 with Prime Factorization
| 2 | 169, 425, 425, 242, 528 |
| 5 | 169, 425, 425, 121, 264 |
| 5 | 169, 85, 85, 121, 264 |
| 11 | 169, 17, 17, 121, 264 |
| 17 | 169, 17, 17, 11, 24 |
| 169, 1, 1, 11, 24 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 11 x 17 x 169 x 1 x 1 x 11 x 24 = 417159600
Therefore, the lowest common multiple of 169,425,425,242,528 is 417159600.
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.
169 x 425 x 425 x 242 x 528 = 3900442260000
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.
169 : 1, 13, 169
425 : 1, 5, 17, 25, 85, 425
425 : 1, 5, 17, 25, 85, 425
242 : 1, 2, 11, 22, 121, 242
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,425,425,242,528, is 1.
Now, the common factors can be found like this.
169:13x 13
425:5x 5x 17
425:5x 5x 17
242:2x 11x 11
528:2x 2x 2x 2x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 11x 17 = 9350
Therefore, the value for common factors is 9350.
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 = 3900442260000/(1x9350)
LCM = 3900442260000/9350
LCM = 417159600
Thus, we can understand that the LCM of 169,425,425,242,528 is 417159600.
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FAQs on LCM of 169, 425, 425, 242, 528
1. What is the LCM of 169, 425, 425, 242, 528?
Answer: LCM of 169, 425, 425, 242, 528 is 417159600.
2. How to calculate the LCM of 169, 425, 425, 242, 528?
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 169, 425, 425, 242, 528.
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}.