LCM of 269, 351, 533, 164, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 351, 533, 164, 456 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 269, 351, 533, 164, 456. So, keep reading to learn more.
Given numbers are 269,351,533,164,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,351,533,164,456 is 588419208.
Find LCM of 269,351,533,164,456 with Prime Factorization
| 2 | 269, 351, 533, 164, 456 |
| 2 | 269, 351, 533, 82, 228 |
| 3 | 269, 351, 533, 41, 114 |
| 13 | 269, 117, 533, 41, 38 |
| 41 | 269, 9, 41, 41, 38 |
| 269, 9, 1, 1, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 41 x 269 x 9 x 1 x 1 x 38 = 588419208
Therefore, the lowest common multiple of 269,351,533,164,456 is 588419208.
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.
269 x 351 x 533 x 164 x 456 = 3763529254368
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.
269 : 1, 269
351 : 1, 3, 9, 13, 27, 39, 117, 351
533 : 1, 13, 41, 533
164 : 1, 2, 4, 41, 82, 164
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,351,533,164,456, is 1.
Now, the common factors can be found like this.
269:269
351:3x 3x 3x 13
533:13x 41
164:2x 2x 41
456:2x 2x 2x 3x 19
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 3x 13x 41 = 6396
Therefore, the value for common factors is 6396.
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 = 3763529254368/(1x6396)
LCM = 3763529254368/6396
LCM = 588419208
Thus, we can understand that the LCM of 269,351,533,164,456 is 588419208.
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FAQs on LCM of 269, 351, 533, 164, 456
1. What is the LCM of 269, 351, 533, 164, 456?
Answer: LCM of 269, 351, 533, 164, 456 is 588419208.
2. How to calculate the LCM of 269, 351, 533, 164, 456?
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 269, 351, 533, 164, 456.
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}.