LCM of 681, 928, 377, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 928, 377, 407 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 681, 928, 377, 407. So, keep reading to learn more.
Given numbers are 681,928,377,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,928,377,407 is 3343742688.
Find LCM of 681,928,377,407 with Prime Factorization
| 29 | 681, 928, 377, 407 |
| 681, 32, 13, 407 |
Multiply the prime numbers at the bottom and the left side.
29 x 681 x 32 x 13 x 407 = 3343742688
Therefore, the lowest common multiple of 681,928,377,407 is 3343742688.
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.
681 x 928 x 377 x 407 = 96968537952
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.
681 : 1, 3, 227, 681
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
377 : 1, 13, 29, 377
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,928,377,407, is 1.
Now, the common factors can be found like this.
681:3x 227
928:2x 2x 2x 2x 2x 29
377:13x 29
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 96968537952/(1x29)
LCM = 96968537952/29
LCM = 3343742688
Thus, we can understand that the LCM of 681,928,377,407 is 3343742688.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 681, 928, 377, 407
1. What is the LCM of 681, 928, 377, 407?
Answer: LCM of 681, 928, 377, 407 is 3343742688.
2. How to calculate the LCM of 681, 928, 377, 407?
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 681, 928, 377, 407.
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}.