LCM of 896, 706, 740, 315, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 706, 740, 315, 840 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 896, 706, 740, 315, 840. So, keep reading to learn more.
Given numbers are 896,706,740,315,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,706,740,315,840 is 526619520.
Find LCM of 896,706,740,315,840 with Prime Factorization
| 2 | 896, 706, 740, 315, 840 |
| 2 | 448, 353, 370, 315, 420 |
| 2 | 224, 353, 185, 315, 210 |
| 3 | 112, 353, 185, 315, 105 |
| 5 | 112, 353, 185, 35, 105 |
| 7 | 112, 353, 37, 7, 21 |
| 16, 353, 37, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 16 x 353 x 37 x 1 x 3 = 526619520
Therefore, the lowest common multiple of 896,706,740,315,840 is 526619520.
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.
896 x 706 x 740 x 315 x 840 = 123860911104000
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
706 : 1, 2, 353, 706
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,706,740,315,840, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
706:2x 353
740:2x 2x 5x 37
315:3x 3x 5x 7
840:2x 2x 2x 3x 5x 7
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 2x 2x 2x 2x 3x 5x 5x 7x 7 = 235200
Therefore, the value for common factors is 235200.
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 = 123860911104000/(1x235200)
LCM = 123860911104000/235200
LCM = 526619520
Thus, we can understand that the LCM of 896,706,740,315,840 is 526619520.
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FAQs on LCM of 896, 706, 740, 315, 840
1. What is the LCM of 896, 706, 740, 315, 840?
Answer: LCM of 896, 706, 740, 315, 840 is 526619520.
2. How to calculate the LCM of 896, 706, 740, 315, 840?
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 896, 706, 740, 315, 840.
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}.