LCM of 117, 398, 507, 278, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 117, 398, 507, 278, 321 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 117, 398, 507, 278, 321. So, keep reading to learn more.
Given numbers are 117,398,507,278,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,398,507,278,321 is 9003489534.
Find LCM of 117,398,507,278,321 with Prime Factorization
| 2 | 117, 398, 507, 278, 321 |
| 3 | 117, 199, 507, 139, 321 |
| 13 | 39, 199, 169, 139, 107 |
| 3, 199, 13, 139, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 3 x 199 x 13 x 139 x 107 = 9003489534
Therefore, the lowest common multiple of 117,398,507,278,321 is 9003489534.
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.
117 x 398 x 507 x 278 x 321 = 2106816550956
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.
117 : 1, 3, 9, 13, 39, 117
398 : 1, 2, 199, 398
507 : 1, 3, 13, 39, 169, 507
278 : 1, 2, 139, 278
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,398,507,278,321, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
398:2x 199
507:3x 13x 13
278:2x 139
321:3x 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 3x 3x 13 = 234
Therefore, the value for common factors is 234.
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 = 2106816550956/(1x234)
LCM = 2106816550956/234
LCM = 9003489534
Thus, we can understand that the LCM of 117,398,507,278,321 is 9003489534.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 117, 398, 507, 278, 321
1. What is the LCM of 117, 398, 507, 278, 321?
Answer: LCM of 117, 398, 507, 278, 321 is 9003489534.
2. How to calculate the LCM of 117, 398, 507, 278, 321?
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 117, 398, 507, 278, 321.
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}.