LCM of 383, 772, 557, 953, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 772, 557, 953, 312 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 383, 772, 557, 953, 312. So, keep reading to learn more.
Given numbers are 383,772,557,953,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,772,557,953,312 is 12242180339688.
Find LCM of 383,772,557,953,312 with Prime Factorization
| 2 | 383, 772, 557, 953, 312 |
| 2 | 383, 386, 557, 953, 156 |
| 383, 193, 557, 953, 78 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 383 x 193 x 557 x 953 x 78 = 12242180339688
Therefore, the lowest common multiple of 383,772,557,953,312 is 12242180339688.
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.
383 x 772 x 557 x 953 x 312 = 48968721358752
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.
383 : 1, 383
772 : 1, 2, 4, 193, 386, 772
557 : 1, 557
953 : 1, 953
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,772,557,953,312, is 1.
Now, the common factors can be found like this.
383:383
772:2x 2x 193
557:557
953:953
312:2x 2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 48968721358752/(1x4)
LCM = 48968721358752/4
LCM = 12242180339688
Thus, we can understand that the LCM of 383,772,557,953,312 is 12242180339688.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 383, 772, 557, 953, 312
1. What is the LCM of 383, 772, 557, 953, 312?
Answer: LCM of 383, 772, 557, 953, 312 is 12242180339688.
2. How to calculate the LCM of 383, 772, 557, 953, 312?
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 383, 772, 557, 953, 312.
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}.