LCM of 768, 851, 269, 828, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 851, 269, 828, 548 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 768, 851, 269, 828, 548. So, keep reading to learn more.
Given numbers are 768,851,269,828,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,851,269,828,548 is 72257824512.
Find LCM of 768,851,269,828,548 with Prime Factorization
| 2 | 768, 851, 269, 828, 548 |
| 2 | 384, 851, 269, 414, 274 |
| 3 | 192, 851, 269, 207, 137 |
| 23 | 64, 851, 269, 69, 137 |
| 64, 37, 269, 3, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 64 x 37 x 269 x 3 x 137 = 72257824512
Therefore, the lowest common multiple of 768,851,269,828,548 is 72257824512.
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.
768 x 851 x 269 x 828 x 548 = 79772638261248
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
851 : 1, 23, 37, 851
269 : 1, 269
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,851,269,828,548, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
851:23x 37
269:269
828:2x 2x 3x 3x 23
548:2x 2x 137
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 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 79772638261248/(1x1104)
LCM = 79772638261248/1104
LCM = 72257824512
Thus, we can understand that the LCM of 768,851,269,828,548 is 72257824512.
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FAQs on LCM of 768, 851, 269, 828, 548
1. What is the LCM of 768, 851, 269, 828, 548?
Answer: LCM of 768, 851, 269, 828, 548 is 72257824512.
2. How to calculate the LCM of 768, 851, 269, 828, 548?
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 768, 851, 269, 828, 548.
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}.