Find the LCM of 392, 727, 807, 735, 291 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 392, 727, 807, 735, 291. So, keep reading to learn more.
Given numbers are 392,727,807,735,291
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,727,807,735,291 is 111541312680.
Find LCM of 392,727,807,735,291 with Prime Factorization
3 | 392, 727, 807, 735, 291 |
7 | 392, 727, 269, 245, 97 |
7 | 56, 727, 269, 35, 97 |
8, 727, 269, 5, 97 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 7 x 8 x 727 x 269 x 5 x 97 = 111541312680
Therefore, the lowest common multiple of 392,727,807,735,291 is 111541312680.
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.
392 x 727 x 807 x 735 x 291 = 49189718891880
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
727 : 1, 727
807 : 1, 3, 269, 807
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
291 : 1, 3, 97, 291
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,727,807,735,291, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
727:727
807:3x 269
735:3x 5x 7x 7
291:3x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 7 = 441
Therefore, the value for common factors is 441.
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 = 49189718891880/(1x441)
LCM = 49189718891880/441
LCM = 111541312680
Thus, we can understand that the LCM of 392,727,807,735,291 is 111541312680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 392, 727, 807, 735, 291?
Answer: LCM of 392, 727, 807, 735, 291 is 111541312680.
2. How to calculate the LCM of 392, 727, 807, 735, 291?
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 392, 727, 807, 735, 291.
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}.