LCM of 577, 314, 387, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 577, 314, 387, 678 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 577, 314, 387, 678. So, keep reading to learn more.
Given numbers are 577,314,387,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,314,387,678 is 7923095118.
Find LCM of 577,314,387,678 with Prime Factorization
| 2 | 577, 314, 387, 678 |
| 3 | 577, 157, 387, 339 |
| 577, 157, 129, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 577 x 157 x 129 x 113 = 7923095118
Therefore, the lowest common multiple of 577,314,387,678 is 7923095118.
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.
577 x 314 x 387 x 678 = 47538570708
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.
577 : 1, 577
314 : 1, 2, 157, 314
387 : 1, 3, 9, 43, 129, 387
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,314,387,678, is 1.
Now, the common factors can be found like this.
577:577
314:2x 157
387:3x 3x 43
678:2x 3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 47538570708/(1x6)
LCM = 47538570708/6
LCM = 7923095118
Thus, we can understand that the LCM of 577,314,387,678 is 7923095118.
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FAQs on LCM of 577, 314, 387, 678
1. What is the LCM of 577, 314, 387, 678?
Answer: LCM of 577, 314, 387, 678 is 7923095118.
2. How to calculate the LCM of 577, 314, 387, 678?
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 577, 314, 387, 678.
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}.