LCM of 759, 488, 548, 138, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 488, 548, 138, 628 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 759, 488, 548, 138, 628. So, keep reading to learn more.
Given numbers are 759,488,548,138,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,488,548,138,628 is 7966761528.
Find LCM of 759,488,548,138,628 with Prime Factorization
| 2 | 759, 488, 548, 138, 628 |
| 2 | 759, 244, 274, 69, 314 |
| 3 | 759, 122, 137, 69, 157 |
| 23 | 253, 122, 137, 23, 157 |
| 11, 122, 137, 1, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 11 x 122 x 137 x 1 x 157 = 7966761528
Therefore, the lowest common multiple of 759,488,548,138,628 is 7966761528.
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.
759 x 488 x 548 x 138 x 628 = 17590609453824
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
488 : 1, 2, 4, 8, 61, 122, 244, 488
548 : 1, 2, 4, 137, 274, 548
138 : 1, 2, 3, 6, 23, 46, 69, 138
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,488,548,138,628, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
488:2x 2x 2x 61
548:2x 2x 137
138:2x 3x 23
628:2x 2x 157
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 3x 23 = 2208
Therefore, the value for common factors is 2208.
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 = 17590609453824/(1x2208)
LCM = 17590609453824/2208
LCM = 7966761528
Thus, we can understand that the LCM of 759,488,548,138,628 is 7966761528.
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FAQs on LCM of 759, 488, 548, 138, 628
1. What is the LCM of 759, 488, 548, 138, 628?
Answer: LCM of 759, 488, 548, 138, 628 is 7966761528.
2. How to calculate the LCM of 759, 488, 548, 138, 628?
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 759, 488, 548, 138, 628.
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}.