LCM of 607, 917, 940, 640, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 917, 940, 640, 893 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 607, 917, 940, 640, 893. So, keep reading to learn more.
Given numbers are 607,917,940,640,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,917,940,640,893 is 318118890880.
Find LCM of 607,917,940,640,893 with Prime Factorization
| 2 | 607, 917, 940, 640, 893 |
| 2 | 607, 917, 470, 320, 893 |
| 5 | 607, 917, 235, 160, 893 |
| 47 | 607, 917, 47, 32, 893 |
| 607, 917, 1, 32, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 47 x 607 x 917 x 1 x 32 x 19 = 318118890880
Therefore, the lowest common multiple of 607,917,940,640,893 is 318118890880.
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.
607 x 917 x 940 x 640 x 893 = 299031757427200
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.
607 : 1, 607
917 : 1, 7, 131, 917
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,917,940,640,893, is 1.
Now, the common factors can be found like this.
607:607
917:7x 131
940:2x 2x 5x 47
640:2x 2x 2x 2x 2x 2x 2x 5
893:19x 47
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 5x 47 = 940
Therefore, the value for common factors is 940.
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 = 299031757427200/(1x940)
LCM = 299031757427200/940
LCM = 318118890880
Thus, we can understand that the LCM of 607,917,940,640,893 is 318118890880.
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FAQs on LCM of 607, 917, 940, 640, 893
1. What is the LCM of 607, 917, 940, 640, 893?
Answer: LCM of 607, 917, 940, 640, 893 is 318118890880.
2. How to calculate the LCM of 607, 917, 940, 640, 893?
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 607, 917, 940, 640, 893.
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}.