LCM of 356, 278, 551, 754, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 278, 551, 754, 517 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 356, 278, 551, 754, 517. So, keep reading to learn more.
Given numbers are 356,278,551,754,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,278,551,754,517 is 183252662164.
Find LCM of 356,278,551,754,517 with Prime Factorization
| 2 | 356, 278, 551, 754, 517 |
| 29 | 178, 139, 551, 377, 517 |
| 178, 139, 19, 13, 517 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 178 x 139 x 19 x 13 x 517 = 183252662164
Therefore, the lowest common multiple of 356,278,551,754,517 is 183252662164.
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.
356 x 278 x 551 x 754 x 517 = 21257308811024
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.
356 : 1, 2, 4, 89, 178, 356
278 : 1, 2, 139, 278
551 : 1, 19, 29, 551
754 : 1, 2, 13, 26, 29, 58, 377, 754
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,278,551,754,517, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
278:2x 139
551:19x 29
754:2x 13x 29
517:11x 47
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 29 = 116
Therefore, the value for common factors is 116.
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 = 21257308811024/(1x116)
LCM = 21257308811024/116
LCM = 183252662164
Thus, we can understand that the LCM of 356,278,551,754,517 is 183252662164.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 356, 278, 551, 754, 517
1. What is the LCM of 356, 278, 551, 754, 517?
Answer: LCM of 356, 278, 551, 754, 517 is 183252662164.
2. How to calculate the LCM of 356, 278, 551, 754, 517?
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 356, 278, 551, 754, 517.
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}.