LCM of 780, 903, 635, 833, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 903, 635, 833, 203 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 780, 903, 635, 833, 203. So, keep reading to learn more.
Given numbers are 780,903,635,833,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,903,635,833,203 is 102898674060.
Find LCM of 780,903,635,833,203 with Prime Factorization
| 3 | 780, 903, 635, 833, 203 |
| 5 | 260, 301, 635, 833, 203 |
| 7 | 52, 301, 127, 833, 203 |
| 52, 43, 127, 119, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 52 x 43 x 127 x 119 x 29 = 102898674060
Therefore, the lowest common multiple of 780,903,635,833,203 is 102898674060.
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.
780 x 903 x 635 x 833 x 203 = 75630525434100
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
903 : 1, 3, 7, 21, 43, 129, 301, 903
635 : 1, 5, 127, 635
833 : 1, 7, 17, 49, 119, 833
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,903,635,833,203, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
903:3x 7x 43
635:5x 127
833:7x 7x 17
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 7 = 735
Therefore, the value for common factors is 735.
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 = 75630525434100/(1x735)
LCM = 75630525434100/735
LCM = 102898674060
Thus, we can understand that the LCM of 780,903,635,833,203 is 102898674060.
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FAQs on LCM of 780, 903, 635, 833, 203
1. What is the LCM of 780, 903, 635, 833, 203?
Answer: LCM of 780, 903, 635, 833, 203 is 102898674060.
2. How to calculate the LCM of 780, 903, 635, 833, 203?
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 780, 903, 635, 833, 203.
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}.