LCM of 382, 278, 504, 540, 767
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 278, 504, 540, 767 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 382, 278, 504, 540, 767. So, keep reading to learn more.
Given numbers are 382,278,504,540,767
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,278,504,540,767 is 153944907480.
Find LCM of 382,278,504,540,767 with Prime Factorization
| 2 | 382, 278, 504, 540, 767 |
| 2 | 191, 139, 252, 270, 767 |
| 3 | 191, 139, 126, 135, 767 |
| 3 | 191, 139, 42, 45, 767 |
| 191, 139, 14, 15, 767 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 191 x 139 x 14 x 15 x 767 = 153944907480
Therefore, the lowest common multiple of 382,278,504,540,767 is 153944907480.
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.
382 x 278 x 504 x 540 x 767 = 22168066677120
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.
382 : 1, 2, 191, 382
278 : 1, 2, 139, 278
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
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
767 : 1, 13, 59, 767
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,278,504,540,767, is 1.
Now, the common factors can be found like this.
382:2x 191
278:2x 139
504:2x 2x 2x 3x 3x 7
540:2x 2x 3x 3x 3x 5
767:13x 59
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 3 = 144
Therefore, the value for common factors is 144.
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 = 22168066677120/(1x144)
LCM = 22168066677120/144
LCM = 153944907480
Thus, we can understand that the LCM of 382,278,504,540,767 is 153944907480.
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FAQs on LCM of 382, 278, 504, 540, 767
1. What is the LCM of 382, 278, 504, 540, 767?
Answer: LCM of 382, 278, 504, 540, 767 is 153944907480.
2. How to calculate the LCM of 382, 278, 504, 540, 767?
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 382, 278, 504, 540, 767.
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}.