LCM of 907, 681, 314, 681, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 907, 681, 314, 681, 446 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 907, 681, 314, 681, 446. So, keep reading to learn more.
Given numbers are 907,681,314,681,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,681,314,681,446 is 43250278674.
Find LCM of 907,681,314,681,446 with Prime Factorization
| 2 | 907, 681, 314, 681, 446 |
| 3 | 907, 681, 157, 681, 223 |
| 227 | 907, 227, 157, 227, 223 |
| 907, 1, 157, 1, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 907 x 1 x 157 x 1 x 223 = 43250278674
Therefore, the lowest common multiple of 907,681,314,681,446 is 43250278674.
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.
907 x 681 x 314 x 681 x 446 = 58906879553988
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.
907 : 1, 907
681 : 1, 3, 227, 681
314 : 1, 2, 157, 314
681 : 1, 3, 227, 681
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,681,314,681,446, is 1.
Now, the common factors can be found like this.
907:907
681:3x 227
314:2x 157
681:3x 227
446:2x 223
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 227 = 1362
Therefore, the value for common factors is 1362.
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 = 58906879553988/(1x1362)
LCM = 58906879553988/1362
LCM = 43250278674
Thus, we can understand that the LCM of 907,681,314,681,446 is 43250278674.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 907, 681, 314, 681, 446
1. What is the LCM of 907, 681, 314, 681, 446?
Answer: LCM of 907, 681, 314, 681, 446 is 43250278674.
2. How to calculate the LCM of 907, 681, 314, 681, 446?
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 907, 681, 314, 681, 446.
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}.