LCM of 649, 903, 774, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 903, 774, 842 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 649, 903, 774, 842. So, keep reading to learn more.
Given numbers are 649,903,774,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,903,774,842 is 1480354722.
Find LCM of 649,903,774,842 with Prime Factorization
| 2 | 649, 903, 774, 842 |
| 3 | 649, 903, 387, 421 |
| 43 | 649, 301, 129, 421 |
| 649, 7, 3, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 649 x 7 x 3 x 421 = 1480354722
Therefore, the lowest common multiple of 649,903,774,842 is 1480354722.
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.
649 x 903 x 774 x 842 = 381931518276
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.
649 : 1, 11, 59, 649
903 : 1, 3, 7, 21, 43, 129, 301, 903
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,903,774,842, is 1.
Now, the common factors can be found like this.
649:11x 59
903:3x 7x 43
774:2x 3x 3x 43
842:2x 421
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 43 = 258
Therefore, the value for common factors is 258.
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 = 381931518276/(1x258)
LCM = 381931518276/258
LCM = 1480354722
Thus, we can understand that the LCM of 649,903,774,842 is 1480354722.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 649, 903, 774, 842
1. What is the LCM of 649, 903, 774, 842?
Answer: LCM of 649, 903, 774, 842 is 1480354722.
2. How to calculate the LCM of 649, 903, 774, 842?
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 649, 903, 774, 842.
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}.