LCM of 642, 503, 889, 918, 699
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 642, 503, 889, 918, 699 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 642, 503, 889, 918, 699. So, keep reading to learn more.
Given numbers are 642,503,889,918,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,503,889,918,699 is 10234158197886.
Find LCM of 642,503,889,918,699 with Prime Factorization
| 2 | 642, 503, 889, 918, 699 |
| 3 | 321, 503, 889, 459, 699 |
| 107, 503, 889, 153, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 503 x 889 x 153 x 233 = 10234158197886
Therefore, the lowest common multiple of 642,503,889,918,699 is 10234158197886.
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.
642 x 503 x 889 x 918 x 699 = 184214847561948
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
503 : 1, 503
889 : 1, 7, 127, 889
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,503,889,918,699, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
503:503
889:7x 127
918:2x 3x 3x 3x 17
699:3x 233
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 3 = 18
Therefore, the value for common factors is 18.
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 = 184214847561948/(1x18)
LCM = 184214847561948/18
LCM = 10234158197886
Thus, we can understand that the LCM of 642,503,889,918,699 is 10234158197886.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 642, 503, 889, 918, 699
1. What is the LCM of 642, 503, 889, 918, 699?
Answer: LCM of 642, 503, 889, 918, 699 is 10234158197886.
2. How to calculate the LCM of 642, 503, 889, 918, 699?
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 642, 503, 889, 918, 699.
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}.