LCM of 212, 278, 506, 507, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 278, 506, 507, 309 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 212, 278, 506, 507, 309. So, keep reading to learn more.
Given numbers are 212,278,506,507,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,278,506,507,309 is 389328652284.
Find LCM of 212,278,506,507,309 with Prime Factorization
| 2 | 212, 278, 506, 507, 309 |
| 3 | 106, 139, 253, 507, 309 |
| 106, 139, 253, 169, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 106 x 139 x 253 x 169 x 103 = 389328652284
Therefore, the lowest common multiple of 212,278,506,507,309 is 389328652284.
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.
212 x 278 x 506 x 507 x 309 = 4671943827408
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.
212 : 1, 2, 4, 53, 106, 212
278 : 1, 2, 139, 278
506 : 1, 2, 11, 22, 23, 46, 253, 506
507 : 1, 3, 13, 39, 169, 507
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,278,506,507,309, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
278:2x 139
506:2x 11x 23
507:3x 13x 13
309:3x 103
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 3 = 12
Therefore, the value for common factors is 12.
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 = 4671943827408/(1x12)
LCM = 4671943827408/12
LCM = 389328652284
Thus, we can understand that the LCM of 212,278,506,507,309 is 389328652284.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 212, 278, 506, 507, 309
1. What is the LCM of 212, 278, 506, 507, 309?
Answer: LCM of 212, 278, 506, 507, 309 is 389328652284.
2. How to calculate the LCM of 212, 278, 506, 507, 309?
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 212, 278, 506, 507, 309.
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}.