LCM of 874, 458, 705, 774, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 458, 705, 774, 903 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 874, 458, 705, 774, 903. So, keep reading to learn more.
Given numbers are 874,458,705,774,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,458,705,774,903 is 127415945790.
Find LCM of 874,458,705,774,903 with Prime Factorization
| 2 | 874, 458, 705, 774, 903 |
| 3 | 437, 229, 705, 387, 903 |
| 43 | 437, 229, 235, 129, 301 |
| 437, 229, 235, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 437 x 229 x 235 x 3 x 7 = 127415945790
Therefore, the lowest common multiple of 874,458,705,774,903 is 127415945790.
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.
874 x 458 x 705 x 774 x 903 = 197239884082920
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
458 : 1, 2, 229, 458
705 : 1, 3, 5, 15, 47, 141, 235, 705
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,458,705,774,903, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
458:2x 229
705:3x 5x 47
774:2x 3x 3x 43
903:3x 7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 43 = 1548
Therefore, the value for common factors is 1548.
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 = 197239884082920/(1x1548)
LCM = 197239884082920/1548
LCM = 127415945790
Thus, we can understand that the LCM of 874,458,705,774,903 is 127415945790.
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FAQs on LCM of 874, 458, 705, 774, 903
1. What is the LCM of 874, 458, 705, 774, 903?
Answer: LCM of 874, 458, 705, 774, 903 is 127415945790.
2. How to calculate the LCM of 874, 458, 705, 774, 903?
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 874, 458, 705, 774, 903.
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}.