LCM of 214, 987, 749, 732, 941
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 214, 987, 749, 732, 941 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 214, 987, 749, 732, 941. So, keep reading to learn more.
Given numbers are 214,987,749,732,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,987,749,732,941 is 24248248836.
Find LCM of 214,987,749,732,941 with Prime Factorization
| 2 | 214, 987, 749, 732, 941 |
| 3 | 107, 987, 749, 366, 941 |
| 7 | 107, 329, 749, 122, 941 |
| 107 | 107, 47, 107, 122, 941 |
| 1, 47, 1, 122, 941 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 107 x 1 x 47 x 1 x 122 x 941 = 24248248836
Therefore, the lowest common multiple of 214,987,749,732,941 is 24248248836.
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.
214 x 987 x 749 x 732 x 941 = 108971630268984
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.
214 : 1, 2, 107, 214
987 : 1, 3, 7, 21, 47, 141, 329, 987
749 : 1, 7, 107, 749
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,987,749,732,941, is 1.
Now, the common factors can be found like this.
214:2x 107
987:3x 7x 47
749:7x 107
732:2x 2x 3x 61
941:941
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 7x 107 = 4494
Therefore, the value for common factors is 4494.
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 = 108971630268984/(1x4494)
LCM = 108971630268984/4494
LCM = 24248248836
Thus, we can understand that the LCM of 214,987,749,732,941 is 24248248836.
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FAQs on LCM of 214, 987, 749, 732, 941
1. What is the LCM of 214, 987, 749, 732, 941?
Answer: LCM of 214, 987, 749, 732, 941 is 24248248836.
2. How to calculate the LCM of 214, 987, 749, 732, 941?
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 214, 987, 749, 732, 941.
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}.