LCM of 762, 676, 559, 198, 627
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 676, 559, 198, 627 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 762, 676, 559, 198, 627. So, keep reading to learn more.
Given numbers are 762,676,559,198,627
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,676,559,198,627 is 6943967316.
Find LCM of 762,676,559,198,627 with Prime Factorization
| 2 | 762, 676, 559, 198, 627 |
| 3 | 381, 338, 559, 99, 627 |
| 11 | 127, 338, 559, 33, 209 |
| 13 | 127, 338, 559, 3, 19 |
| 127, 26, 43, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 127 x 26 x 43 x 3 x 19 = 6943967316
Therefore, the lowest common multiple of 762,676,559,198,627 is 6943967316.
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.
762 x 676 x 559 x 198 x 627 = 35747543742768
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
559 : 1, 13, 43, 559
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
627 : 1, 3, 11, 19, 33, 57, 209, 627
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,676,559,198,627, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
676:2x 2x 13x 13
559:13x 43
198:2x 3x 3x 11
627:3x 11x 19
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 3x 3x 11x 13 = 5148
Therefore, the value for common factors is 5148.
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 = 35747543742768/(1x5148)
LCM = 35747543742768/5148
LCM = 6943967316
Thus, we can understand that the LCM of 762,676,559,198,627 is 6943967316.
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FAQs on LCM of 762, 676, 559, 198, 627
1. What is the LCM of 762, 676, 559, 198, 627?
Answer: LCM of 762, 676, 559, 198, 627 is 6943967316.
2. How to calculate the LCM of 762, 676, 559, 198, 627?
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 762, 676, 559, 198, 627.
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}.