LCM of 277, 973, 554, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 277, 973, 554, 847 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 277, 973, 554, 847. So, keep reading to learn more.
Given numbers are 277,973,554,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 277,973,554,847 is 65224082.
Find LCM of 277,973,554,847 with Prime Factorization
| 7 | 277, 973, 554, 847 |
| 277 | 277, 139, 554, 121 |
| 1, 139, 2, 121 |
Multiply the prime numbers at the bottom and the left side.
7 x 277 x 1 x 139 x 2 x 121 = 65224082
Therefore, the lowest common multiple of 277,973,554,847 is 65224082.
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.
277 x 973 x 554 x 847 = 126469494998
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.
277 : 1, 277
973 : 1, 7, 139, 973
554 : 1, 2, 277, 554
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 277,973,554,847, is 1.
Now, the common factors can be found like this.
277:277
973:7x 139
554:2x 277
847:7x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 277 = 1939
Therefore, the value for common factors is 1939.
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 = 126469494998/(1x1939)
LCM = 126469494998/1939
LCM = 65224082
Thus, we can understand that the LCM of 277,973,554,847 is 65224082.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 277, 973, 554, 847
1. What is the LCM of 277, 973, 554, 847?
Answer: LCM of 277, 973, 554, 847 is 65224082.
2. How to calculate the LCM of 277, 973, 554, 847?
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 277, 973, 554, 847.
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}.