LCM of 359, 676, 507, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 676, 507, 214 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 359, 676, 507, 214. So, keep reading to learn more.
Given numbers are 359,676,507,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,676,507,214 is 77901564.
Find LCM of 359,676,507,214 with Prime Factorization
| 2 | 359, 676, 507, 214 |
| 13 | 359, 338, 507, 107 |
| 13 | 359, 26, 39, 107 |
| 359, 2, 3, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 13 x 359 x 2 x 3 x 107 = 77901564
Therefore, the lowest common multiple of 359,676,507,214 is 77901564.
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.
359 x 676 x 507 x 214 = 26330728632
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.
359 : 1, 359
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
507 : 1, 3, 13, 39, 169, 507
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,676,507,214, is 1.
Now, the common factors can be found like this.
359:359
676:2x 2x 13x 13
507:3x 13x 13
214:2x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 26330728632/(1x338)
LCM = 26330728632/338
LCM = 77901564
Thus, we can understand that the LCM of 359,676,507,214 is 77901564.
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FAQs on LCM of 359, 676, 507, 214
1. What is the LCM of 359, 676, 507, 214?
Answer: LCM of 359, 676, 507, 214 is 77901564.
2. How to calculate the LCM of 359, 676, 507, 214?
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 359, 676, 507, 214.
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}.