LCM of 279, 152, 286, 507, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 152, 286, 507, 297 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 279, 152, 286, 507, 297. So, keep reading to learn more.
Given numbers are 279,152,286,507,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,152,286,507,297 is 236509416.
Find LCM of 279,152,286,507,297 with Prime Factorization
| 2 | 279, 152, 286, 507, 297 |
| 3 | 279, 76, 143, 507, 297 |
| 3 | 93, 76, 143, 169, 99 |
| 11 | 31, 76, 143, 169, 33 |
| 13 | 31, 76, 13, 169, 3 |
| 31, 76, 1, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 13 x 31 x 76 x 1 x 13 x 3 = 236509416
Therefore, the lowest common multiple of 279,152,286,507,297 is 236509416.
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.
279 x 152 x 286 x 507 x 297 = 1826325710352
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.
279 : 1, 3, 9, 31, 93, 279
152 : 1, 2, 4, 8, 19, 38, 76, 152
286 : 1, 2, 11, 13, 22, 26, 143, 286
507 : 1, 3, 13, 39, 169, 507
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,152,286,507,297, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
152:2x 2x 2x 19
286:2x 11x 13
507:3x 13x 13
297:3x 3x 3x 11
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 3x 11x 13 = 7722
Therefore, the value for common factors is 7722.
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 = 1826325710352/(1x7722)
LCM = 1826325710352/7722
LCM = 236509416
Thus, we can understand that the LCM of 279,152,286,507,297 is 236509416.
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FAQs on LCM of 279, 152, 286, 507, 297
1. What is the LCM of 279, 152, 286, 507, 297?
Answer: LCM of 279, 152, 286, 507, 297 is 236509416.
2. How to calculate the LCM of 279, 152, 286, 507, 297?
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 279, 152, 286, 507, 297.
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}.