LCM of 357, 908, 527, 499
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 908, 527, 499 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 357, 908, 527, 499. So, keep reading to learn more.
Given numbers are 357,908,527,499
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,908,527,499 is 5014369164.
Find LCM of 357,908,527,499 with Prime Factorization
| 17 | 357, 908, 527, 499 |
| 21, 908, 31, 499 |
Multiply the prime numbers at the bottom and the left side.
17 x 21 x 908 x 31 x 499 = 5014369164
Therefore, the lowest common multiple of 357,908,527,499 is 5014369164.
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.
357 x 908 x 527 x 499 = 85244275788
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
908 : 1, 2, 4, 227, 454, 908
527 : 1, 17, 31, 527
499 : 1, 499
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,908,527,499, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
908:2x 2x 227
527:17x 31
499:499
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 85244275788/(1x17)
LCM = 85244275788/17
LCM = 5014369164
Thus, we can understand that the LCM of 357,908,527,499 is 5014369164.
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FAQs on LCM of 357, 908, 527, 499
1. What is the LCM of 357, 908, 527, 499?
Answer: LCM of 357, 908, 527, 499 is 5014369164.
2. How to calculate the LCM of 357, 908, 527, 499?
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 357, 908, 527, 499.
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}.