LCM of 754, 636, 209, 306, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 636, 209, 306, 308 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 754, 636, 209, 306, 308. So, keep reading to learn more.
Given numbers are 754,636,209,306,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,636,209,306,308 is 17890108236.
Find LCM of 754,636,209,306,308 with Prime Factorization
| 2 | 754, 636, 209, 306, 308 |
| 2 | 377, 318, 209, 153, 154 |
| 3 | 377, 159, 209, 153, 77 |
| 11 | 377, 53, 209, 51, 77 |
| 377, 53, 19, 51, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 377 x 53 x 19 x 51 x 7 = 17890108236
Therefore, the lowest common multiple of 754,636,209,306,308 is 17890108236.
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.
754 x 636 x 209 x 306 x 308 = 9445977148608
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
209 : 1, 11, 19, 209
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,636,209,306,308, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
636:2x 2x 3x 53
209:11x 19
306:2x 3x 3x 17
308:2x 2x 7x 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 2x 2x 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 9445977148608/(1x528)
LCM = 9445977148608/528
LCM = 17890108236
Thus, we can understand that the LCM of 754,636,209,306,308 is 17890108236.
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FAQs on LCM of 754, 636, 209, 306, 308
1. What is the LCM of 754, 636, 209, 306, 308?
Answer: LCM of 754, 636, 209, 306, 308 is 17890108236.
2. How to calculate the LCM of 754, 636, 209, 306, 308?
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 754, 636, 209, 306, 308.
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}.