LCM of 741, 262, 972, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 262, 972, 971 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 741, 262, 972, 971. So, keep reading to learn more.
Given numbers are 741,262,972,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,262,972,971 is 30538924884.
Find LCM of 741,262,972,971 with Prime Factorization
| 2 | 741, 262, 972, 971 |
| 3 | 741, 131, 486, 971 |
| 247, 131, 162, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 247 x 131 x 162 x 971 = 30538924884
Therefore, the lowest common multiple of 741,262,972,971 is 30538924884.
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.
741 x 262 x 972 x 971 = 183233549304
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
262 : 1, 2, 131, 262
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,262,972,971, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
262:2x 131
972:2x 2x 3x 3x 3x 3x 3
971:971
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 183233549304/(1x6)
LCM = 183233549304/6
LCM = 30538924884
Thus, we can understand that the LCM of 741,262,972,971 is 30538924884.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 741, 262, 972, 971
1. What is the LCM of 741, 262, 972, 971?
Answer: LCM of 741, 262, 972, 971 is 30538924884.
2. How to calculate the LCM of 741, 262, 972, 971?
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 741, 262, 972, 971.
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}.