LCM of 315, 596, 771, 742, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 596, 771, 742, 894 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 315, 596, 771, 742, 894. So, keep reading to learn more.
Given numbers are 315,596,771,742,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,596,771,742,894 is 2557206540.
Find LCM of 315,596,771,742,894 with Prime Factorization
| 2 | 315, 596, 771, 742, 894 |
| 3 | 315, 298, 771, 371, 447 |
| 7 | 105, 298, 257, 371, 149 |
| 149 | 15, 298, 257, 53, 149 |
| 15, 2, 257, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 149 x 15 x 2 x 257 x 53 x 1 = 2557206540
Therefore, the lowest common multiple of 315,596,771,742,894 is 2557206540.
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.
315 x 596 x 771 x 742 x 894 = 96017991163920
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
596 : 1, 2, 4, 149, 298, 596
771 : 1, 3, 257, 771
742 : 1, 2, 7, 14, 53, 106, 371, 742
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,596,771,742,894, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
596:2x 2x 149
771:3x 257
742:2x 7x 53
894:2x 3x 149
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 7x 149 = 37548
Therefore, the value for common factors is 37548.
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 = 96017991163920/(1x37548)
LCM = 96017991163920/37548
LCM = 2557206540
Thus, we can understand that the LCM of 315,596,771,742,894 is 2557206540.
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FAQs on LCM of 315, 596, 771, 742, 894
1. What is the LCM of 315, 596, 771, 742, 894?
Answer: LCM of 315, 596, 771, 742, 894 is 2557206540.
2. How to calculate the LCM of 315, 596, 771, 742, 894?
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 315, 596, 771, 742, 894.
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}.