LCM of 768, 578, 540, 692, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 578, 540, 692, 538 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, 578, 540, 692, 538. So, keep reading to learn more.
Given numbers are 768,578,540,692,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,578,540,692,538 is 464804110080.
Find LCM of 768,578,540,692,538 with Prime Factorization
| 2 | 768, 578, 540, 692, 538 |
| 2 | 384, 289, 270, 346, 269 |
| 3 | 192, 289, 135, 173, 269 |
| 64, 289, 45, 173, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 64 x 289 x 45 x 173 x 269 = 464804110080
Therefore, the lowest common multiple of 768,578,540,692,538 is 464804110080.
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 578 x 540 x 692 x 538 = 89242389135360
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
578 : 1, 2, 17, 34, 289, 578
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
692 : 1, 2, 4, 173, 346, 692
538 : 1, 2, 269, 538
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,578,540,692,538, is 2.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
578:2x 17x 17
540:2x 2x 3x 3x 3x 5
692:2x 2x 173
538:2x 269
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 3 = 96
Therefore, the value for common factors is 96.
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 = 89242389135360/(2x96)
LCM = 89242389135360/192
LCM = 464804110080
Thus, we can understand that the LCM of 768,578,540,692,538 is 464804110080.
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FAQs on LCM of 768, 578, 540, 692, 538
1. What is the LCM of 768, 578, 540, 692, 538?
Answer: LCM of 768, 578, 540, 692, 538 is 464804110080.
2. How to calculate the LCM of 768, 578, 540, 692, 538?
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, 578, 540, 692, 538.
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}.