LCM of 540, 768, 407, 851, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 768, 407, 851, 342 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 540, 768, 407, 851, 342. So, keep reading to learn more.
Given numbers are 540,768,407,851,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,768,407,851,342 is 6146807040.
Find LCM of 540,768,407,851,342 with Prime Factorization
| 2 | 540, 768, 407, 851, 342 |
| 2 | 270, 384, 407, 851, 171 |
| 3 | 135, 192, 407, 851, 171 |
| 3 | 45, 64, 407, 851, 57 |
| 37 | 15, 64, 407, 851, 19 |
| 15, 64, 11, 23, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 37 x 15 x 64 x 11 x 23 x 19 = 6146807040
Therefore, the lowest common multiple of 540,768,407,851,342 is 6146807040.
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.
540 x 768 x 407 x 851 x 342 = 49125281863680
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.
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
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
407 : 1, 11, 37, 407
851 : 1, 23, 37, 851
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,768,407,851,342, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
768:2x 2x 2x 2x 2x 2x 2x 2x 3
407:11x 37
851:23x 37
342:2x 3x 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 2x 3x 3x 3x 37 = 7992
Therefore, the value for common factors is 7992.
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 = 49125281863680/(1x7992)
LCM = 49125281863680/7992
LCM = 6146807040
Thus, we can understand that the LCM of 540,768,407,851,342 is 6146807040.
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FAQs on LCM of 540, 768, 407, 851, 342
1. What is the LCM of 540, 768, 407, 851, 342?
Answer: LCM of 540, 768, 407, 851, 342 is 6146807040.
2. How to calculate the LCM of 540, 768, 407, 851, 342?
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 540, 768, 407, 851, 342.
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}.