LCM of 302, 512, 600, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 512, 600, 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 302, 512, 600, 528. So, keep reading to learn more.
Given numbers are 302,512,600,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,512,600,528 is 63782400.
Find LCM of 302,512,600,528 with Prime Factorization
| 2 | 302, 512, 600, 528 |
| 2 | 151, 256, 300, 264 |
| 2 | 151, 128, 150, 132 |
| 2 | 151, 64, 75, 66 |
| 3 | 151, 32, 75, 33 |
| 151, 32, 25, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 151 x 32 x 25 x 11 = 63782400
Therefore, the lowest common multiple of 302,512,600,528 is 63782400.
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.
302 x 512 x 600 x 528 = 48984883200
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.
302 : 1, 2, 151, 302
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,512,600,528, is 2.
Now, the common factors can be found like this.
302:2x 151
512:2x 2x 2x 2x 2x 2x 2x 2x 2
600:2x 2x 2x 3x 5x 5
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 2x 2x 2x 2x 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 48984883200/(2x384)
LCM = 48984883200/768
LCM = 63782400
Thus, we can understand that the LCM of 302,512,600,528 is 63782400.
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FAQs on LCM of 302, 512, 600, 528
1. What is the LCM of 302, 512, 600, 528?
Answer: LCM of 302, 512, 600, 528 is 63782400.
2. How to calculate the LCM of 302, 512, 600, 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 302, 512, 600, 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}.