LCM of 760, 691, 244, 288, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 691, 244, 288, 636 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 760, 691, 244, 288, 636. So, keep reading to learn more.
Given numbers are 760,691,244,288,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,691,244,288,636 is 61122322080.
Find LCM of 760,691,244,288,636 with Prime Factorization
| 2 | 760, 691, 244, 288, 636 |
| 2 | 380, 691, 122, 144, 318 |
| 2 | 190, 691, 61, 72, 159 |
| 3 | 95, 691, 61, 36, 159 |
| 95, 691, 61, 12, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 95 x 691 x 61 x 12 x 53 = 61122322080
Therefore, the lowest common multiple of 760,691,244,288,636 is 61122322080.
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.
760 x 691 x 244 x 288 x 636 = 23470971678720
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
691 : 1, 691
244 : 1, 2, 4, 61, 122, 244
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,691,244,288,636, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
691:691
244:2x 2x 61
288:2x 2x 2x 2x 2x 3x 3
636:2x 2x 3x 53
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 2x 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 23470971678720/(1x384)
LCM = 23470971678720/384
LCM = 61122322080
Thus, we can understand that the LCM of 760,691,244,288,636 is 61122322080.
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FAQs on LCM of 760, 691, 244, 288, 636
1. What is the LCM of 760, 691, 244, 288, 636?
Answer: LCM of 760, 691, 244, 288, 636 is 61122322080.
2. How to calculate the LCM of 760, 691, 244, 288, 636?
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 760, 691, 244, 288, 636.
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}.