LCM of 763, 889, 180, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 889, 180, 665 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 763, 889, 180, 665. So, keep reading to learn more.
Given numbers are 763,889,180,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,889,180,665 is 331401420.
Find LCM of 763,889,180,665 with Prime Factorization
| 5 | 763, 889, 180, 665 |
| 7 | 763, 889, 36, 133 |
| 109, 127, 36, 19 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 109 x 127 x 36 x 19 = 331401420
Therefore, the lowest common multiple of 763,889,180,665 is 331401420.
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.
763 x 889 x 180 x 665 = 81193347900
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.
763 : 1, 7, 109, 763
889 : 1, 7, 127, 889
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,889,180,665, is 1.
Now, the common factors can be found like this.
763:7x 109
889:7x 127
180:2x 2x 3x 3x 5
665:5x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7 = 245
Therefore, the value for common factors is 245.
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 = 81193347900/(1x245)
LCM = 81193347900/245
LCM = 331401420
Thus, we can understand that the LCM of 763,889,180,665 is 331401420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 763, 889, 180, 665
1. What is the LCM of 763, 889, 180, 665?
Answer: LCM of 763, 889, 180, 665 is 331401420.
2. How to calculate the LCM of 763, 889, 180, 665?
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 763, 889, 180, 665.
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}.