LCM of 535, 723, 356, 230, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 535, 723, 356, 230, 768 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 535, 723, 356, 230, 768. So, keep reading to learn more.
Given numbers are 535,723,356,230,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,723,356,230,768 is 202698197760.
Find LCM of 535,723,356,230,768 with Prime Factorization
| 2 | 535, 723, 356, 230, 768 |
| 2 | 535, 723, 178, 115, 384 |
| 3 | 535, 723, 89, 115, 192 |
| 5 | 535, 241, 89, 115, 64 |
| 107, 241, 89, 23, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 107 x 241 x 89 x 23 x 64 = 202698197760
Therefore, the lowest common multiple of 535,723,356,230,768 is 202698197760.
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.
535 x 723 x 356 x 230 x 768 = 24323783731200
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.
535 : 1, 5, 107, 535
723 : 1, 3, 241, 723
356 : 1, 2, 4, 89, 178, 356
230 : 1, 2, 5, 10, 23, 46, 115, 230
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,723,356,230,768, is 1.
Now, the common factors can be found like this.
535:5x 107
723:3x 241
356:2x 2x 89
230:2x 5x 23
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 5 = 120
Therefore, the value for common factors is 120.
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 = 24323783731200/(1x120)
LCM = 24323783731200/120
LCM = 202698197760
Thus, we can understand that the LCM of 535,723,356,230,768 is 202698197760.
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FAQs on LCM of 535, 723, 356, 230, 768
1. What is the LCM of 535, 723, 356, 230, 768?
Answer: LCM of 535, 723, 356, 230, 768 is 202698197760.
2. How to calculate the LCM of 535, 723, 356, 230, 768?
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 535, 723, 356, 230, 768.
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}.