LCM of 912, 426, 177, 524, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 912, 426, 177, 524, 746 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 912, 426, 177, 524, 746. So, keep reading to learn more.
Given numbers are 912,426,177,524,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,426,177,524,746 is 186674641584.
Find LCM of 912,426,177,524,746 with Prime Factorization
| 2 | 912, 426, 177, 524, 746 |
| 2 | 456, 213, 177, 262, 373 |
| 3 | 228, 213, 177, 131, 373 |
| 76, 71, 59, 131, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 76 x 71 x 59 x 131 x 373 = 186674641584
Therefore, the lowest common multiple of 912,426,177,524,746 is 186674641584.
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.
912 x 426 x 177 x 524 x 746 = 26881148388096
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.
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
426 : 1, 2, 3, 6, 71, 142, 213, 426
177 : 1, 3, 59, 177
524 : 1, 2, 4, 131, 262, 524
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,426,177,524,746, is 1.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
426:2x 3x 71
177:3x 59
524:2x 2x 131
746:2x 373
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 3 = 144
Therefore, the value for common factors is 144.
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 = 26881148388096/(1x144)
LCM = 26881148388096/144
LCM = 186674641584
Thus, we can understand that the LCM of 912,426,177,524,746 is 186674641584.
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FAQs on LCM of 912, 426, 177, 524, 746
1. What is the LCM of 912, 426, 177, 524, 746?
Answer: LCM of 912, 426, 177, 524, 746 is 186674641584.
2. How to calculate the LCM of 912, 426, 177, 524, 746?
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 912, 426, 177, 524, 746.
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}.