LCM of 987, 749, 749, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 749, 749, 414 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 987, 749, 749, 414. So, keep reading to learn more.
Given numbers are 987,749,749,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,749,749,414 is 14574042.
Find LCM of 987,749,749,414 with Prime Factorization
| 3 | 987, 749, 749, 414 |
| 7 | 329, 749, 749, 138 |
| 107 | 47, 107, 107, 138 |
| 47, 1, 1, 138 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 107 x 47 x 1 x 1 x 138 = 14574042
Therefore, the lowest common multiple of 987,749,749,414 is 14574042.
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.
987 x 749 x 749 x 414 = 229235106618
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
749 : 1, 7, 107, 749
749 : 1, 7, 107, 749
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,749,749,414, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
749:7x 107
749:7x 107
414:2x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 107 = 15729
Therefore, the value for common factors is 15729.
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 = 229235106618/(1x15729)
LCM = 229235106618/15729
LCM = 14574042
Thus, we can understand that the LCM of 987,749,749,414 is 14574042.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 987, 749, 749, 414
1. What is the LCM of 987, 749, 749, 414?
Answer: LCM of 987, 749, 749, 414 is 14574042.
2. How to calculate the LCM of 987, 749, 749, 414?
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 987, 749, 749, 414.
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}.