LCM of 973, 893, 741, 234, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 893, 741, 234, 892 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 973, 893, 741, 234, 892. So, keep reading to learn more.
Given numbers are 973,893,741,234,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,893,741,234,892 is 90680731596.
Find LCM of 973,893,741,234,892 with Prime Factorization
| 2 | 973, 893, 741, 234, 892 |
| 3 | 973, 893, 741, 117, 446 |
| 13 | 973, 893, 247, 39, 446 |
| 19 | 973, 893, 19, 3, 446 |
| 973, 47, 1, 3, 446 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 973 x 47 x 1 x 3 x 446 = 90680731596
Therefore, the lowest common multiple of 973,893,741,234,892 is 90680731596.
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.
973 x 893 x 741 x 234 x 892 = 134388844225272
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.
973 : 1, 7, 139, 973
893 : 1, 19, 47, 893
741 : 1, 3, 13, 19, 39, 57, 247, 741
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,893,741,234,892, is 1.
Now, the common factors can be found like this.
973:7x 139
893:19x 47
741:3x 13x 19
234:2x 3x 3x 13
892:2x 2x 223
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 13x 19 = 1482
Therefore, the value for common factors is 1482.
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 = 134388844225272/(1x1482)
LCM = 134388844225272/1482
LCM = 90680731596
Thus, we can understand that the LCM of 973,893,741,234,892 is 90680731596.
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FAQs on LCM of 973, 893, 741, 234, 892
1. What is the LCM of 973, 893, 741, 234, 892?
Answer: LCM of 973, 893, 741, 234, 892 is 90680731596.
2. How to calculate the LCM of 973, 893, 741, 234, 892?
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 973, 893, 741, 234, 892.
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}.