LCM of 762, 763, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 763, 549 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, 763, 549. So, keep reading to learn more.
Given numbers are 762,763,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,763,549 is 106397298.
Find LCM of 762,763,549 with Prime Factorization
| 3 | 762, 763, 549 |
| 254, 763, 183 |
Multiply the prime numbers at the bottom and the left side.
3 x 254 x 763 x 183 = 106397298
Therefore, the lowest common multiple of 762,763,549 is 106397298.
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 763 x 549 = 319191894
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
763 : 1, 7, 109, 763
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,763,549, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
763:7x 109
549:3x 3x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 319191894/(1x3)
LCM = 319191894/3
LCM = 106397298
Thus, we can understand that the LCM of 762,763,549 is 106397298.
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FAQs on LCM of 762, 763, 549
1. What is the LCM of 762, 763, 549?
Answer: LCM of 762, 763, 549 is 106397298.
2. How to calculate the LCM of 762, 763, 549?
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, 763, 549.
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}.