LCM of 987, 584, 893, 750, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 584, 893, 750, 438 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, 584, 893, 750, 438. So, keep reading to learn more.
Given numbers are 987,584,893,750,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,584,893,750,438 is 1368969000.
Find LCM of 987,584,893,750,438 with Prime Factorization
| 2 | 987, 584, 893, 750, 438 |
| 3 | 987, 292, 893, 375, 219 |
| 47 | 329, 292, 893, 125, 73 |
| 73 | 7, 292, 19, 125, 73 |
| 7, 4, 19, 125, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 73 x 7 x 4 x 19 x 125 x 1 = 1368969000
Therefore, the lowest common multiple of 987,584,893,750,438 is 1368969000.
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 584 x 893 x 750 x 438 = 169089575004000
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
584 : 1, 2, 4, 8, 73, 146, 292, 584
893 : 1, 19, 47, 893
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
438 : 1, 2, 3, 6, 73, 146, 219, 438
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,584,893,750,438, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
584:2x 2x 2x 73
893:19x 47
750:2x 3x 5x 5x 5
438:2x 3x 73
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 47x 73 = 123516
Therefore, the value for common factors is 123516.
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 = 169089575004000/(1x123516)
LCM = 169089575004000/123516
LCM = 1368969000
Thus, we can understand that the LCM of 987,584,893,750,438 is 1368969000.
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FAQs on LCM of 987, 584, 893, 750, 438
1. What is the LCM of 987, 584, 893, 750, 438?
Answer: LCM of 987, 584, 893, 750, 438 is 1368969000.
2. How to calculate the LCM of 987, 584, 893, 750, 438?
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, 584, 893, 750, 438.
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}.