LCM of 762, 603, 889, 418, 201
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 603, 889, 418, 201 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, 603, 889, 418, 201. So, keep reading to learn more.
Given numbers are 762,603,889,418,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,603,889,418,201 is 224076006.
Find LCM of 762,603,889,418,201 with Prime Factorization
| 2 | 762, 603, 889, 418, 201 |
| 3 | 381, 603, 889, 209, 201 |
| 67 | 127, 67, 889, 209, 201 |
| 127 | 127, 1, 889, 209, 3 |
| 1, 1, 7, 209, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 67 x 127 x 1 x 1 x 7 x 209 x 3 = 224076006
Therefore, the lowest common multiple of 762,603,889,418,201 is 224076006.
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 603 x 889 x 418 x 201 = 34319929230972
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
603 : 1, 3, 9, 67, 201, 603
889 : 1, 7, 127, 889
418 : 1, 2, 11, 19, 22, 38, 209, 418
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,603,889,418,201, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
603:3x 3x 67
889:7x 127
418:2x 11x 19
201:3x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 67x 127 = 153162
Therefore, the value for common factors is 153162.
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 = 34319929230972/(1x153162)
LCM = 34319929230972/153162
LCM = 224076006
Thus, we can understand that the LCM of 762,603,889,418,201 is 224076006.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 762, 603, 889, 418, 201
1. What is the LCM of 762, 603, 889, 418, 201?
Answer: LCM of 762, 603, 889, 418, 201 is 224076006.
2. How to calculate the LCM of 762, 603, 889, 418, 201?
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, 603, 889, 418, 201.
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}.