LCM of 946, 648, 507, 970, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 648, 507, 970, 972 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 946, 648, 507, 970, 972. So, keep reading to learn more.
Given numbers are 946,648,507,970,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,648,507,970,972 is 75367801080.
Find LCM of 946,648,507,970,972 with Prime Factorization
| 2 | 946, 648, 507, 970, 972 |
| 2 | 473, 324, 507, 485, 486 |
| 3 | 473, 162, 507, 485, 243 |
| 3 | 473, 54, 169, 485, 81 |
| 3 | 473, 18, 169, 485, 27 |
| 3 | 473, 6, 169, 485, 9 |
| 473, 2, 169, 485, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 473 x 2 x 169 x 485 x 3 = 75367801080
Therefore, the lowest common multiple of 946,648,507,970,972 is 75367801080.
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.
946 x 648 x 507 x 970 x 972 = 293030010599040
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
507 : 1, 3, 13, 39, 169, 507
970 : 1, 2, 5, 10, 97, 194, 485, 970
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,648,507,970,972, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
648:2x 2x 2x 3x 3x 3x 3
507:3x 13x 13
970:2x 5x 97
972:2x 2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 3x 3x 3 = 3888
Therefore, the value for common factors is 3888.
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 = 293030010599040/(1x3888)
LCM = 293030010599040/3888
LCM = 75367801080
Thus, we can understand that the LCM of 946,648,507,970,972 is 75367801080.
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FAQs on LCM of 946, 648, 507, 970, 972
1. What is the LCM of 946, 648, 507, 970, 972?
Answer: LCM of 946, 648, 507, 970, 972 is 75367801080.
2. How to calculate the LCM of 946, 648, 507, 970, 972?
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 946, 648, 507, 970, 972.
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}.