LCM of 681, 748, 690, 771
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 681, 748, 690, 771 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, 748, 690, 771. So, keep reading to learn more.
Given numbers are 681,748,690,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,748,690,771 is 15054962340.
Find LCM of 681,748,690,771 with Prime Factorization
| 2 | 681, 748, 690, 771 |
| 3 | 681, 374, 345, 771 |
| 227, 374, 115, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 374 x 115 x 257 = 15054962340
Therefore, the lowest common multiple of 681,748,690,771 is 15054962340.
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 748 x 690 x 771 = 270989322120
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,748,690,771, is 1.
Now, the common factors can be found like this.
681:3x 227
748:2x 2x 11x 17
690:2x 3x 5x 23
771:3x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 270989322120/(1x18)
LCM = 270989322120/18
LCM = 15054962340
Thus, we can understand that the LCM of 681,748,690,771 is 15054962340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 681, 748, 690, 771
1. What is the LCM of 681, 748, 690, 771?
Answer: LCM of 681, 748, 690, 771 is 15054962340.
2. How to calculate the LCM of 681, 748, 690, 771?
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, 748, 690, 771.
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}.