LCM of 169, 343, 572, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 343, 572, 524 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, 343, 572, 524. So, keep reading to learn more.
Given numbers are 169,343,572,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,343,572,524 is 334121788.
Find LCM of 169,343,572,524 with Prime Factorization
| 2 | 169, 343, 572, 524 |
| 2 | 169, 343, 286, 262 |
| 13 | 169, 343, 143, 131 |
| 13, 343, 11, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 13 x 343 x 11 x 131 = 334121788
Therefore, the lowest common multiple of 169,343,572,524 is 334121788.
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 343 x 572 x 524 = 17374332976
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
343 : 1, 7, 49, 343
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,343,572,524, is 1.
Now, the common factors can be found like this.
169:13x 13
343:7x 7x 7
572:2x 2x 11x 13
524:2x 2x 131
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 13 = 52
Therefore, the value for common factors is 52.
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 = 17374332976/(1x52)
LCM = 17374332976/52
LCM = 334121788
Thus, we can understand that the LCM of 169,343,572,524 is 334121788.
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FAQs on LCM of 169, 343, 572, 524
1. What is the LCM of 169, 343, 572, 524?
Answer: LCM of 169, 343, 572, 524 is 334121788.
2. How to calculate the LCM of 169, 343, 572, 524?
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, 343, 572, 524.
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}.