LCM of 169, 917, 492, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 917, 492, 533 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, 917, 492, 533. So, keep reading to learn more.
Given numbers are 169,917,492,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,917,492,533 is 76246716.
Find LCM of 169,917,492,533 with Prime Factorization
| 13 | 169, 917, 492, 533 |
| 41 | 13, 917, 492, 41 |
| 13, 917, 12, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 41 x 13 x 917 x 12 x 1 = 76246716
Therefore, the lowest common multiple of 169,917,492,533 is 76246716.
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 917 x 492 x 533 = 40639499628
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
917 : 1, 7, 131, 917
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,917,492,533, is 1.
Now, the common factors can be found like this.
169:13x 13
917:7x 131
492:2x 2x 3x 41
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 41 = 533
Therefore, the value for common factors is 533.
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 = 40639499628/(1x533)
LCM = 40639499628/533
LCM = 76246716
Thus, we can understand that the LCM of 169,917,492,533 is 76246716.
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FAQs on LCM of 169, 917, 492, 533
1. What is the LCM of 169, 917, 492, 533?
Answer: LCM of 169, 917, 492, 533 is 76246716.
2. How to calculate the LCM of 169, 917, 492, 533?
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, 917, 492, 533.
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}.