LCM of 732, 412, 669, 893, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 412, 669, 893, 915 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 732, 412, 669, 893, 915. So, keep reading to learn more.
Given numbers are 732,412,669,893,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,412,669,893,915 is 75071420220.
Find LCM of 732,412,669,893,915 with Prime Factorization
| 2 | 732, 412, 669, 893, 915 |
| 2 | 366, 206, 669, 893, 915 |
| 3 | 183, 103, 669, 893, 915 |
| 61 | 61, 103, 223, 893, 305 |
| 1, 103, 223, 893, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 1 x 103 x 223 x 893 x 5 = 75071420220
Therefore, the lowest common multiple of 732,412,669,893,915 is 75071420220.
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.
732 x 412 x 669 x 893 x 915 = 164856838803120
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
412 : 1, 2, 4, 103, 206, 412
669 : 1, 3, 223, 669
893 : 1, 19, 47, 893
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,412,669,893,915, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
412:2x 2x 103
669:3x 223
893:19x 47
915:3x 5x 61
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 3x 3x 61 = 2196
Therefore, the value for common factors is 2196.
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 = 164856838803120/(1x2196)
LCM = 164856838803120/2196
LCM = 75071420220
Thus, we can understand that the LCM of 732,412,669,893,915 is 75071420220.
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FAQs on LCM of 732, 412, 669, 893, 915
1. What is the LCM of 732, 412, 669, 893, 915?
Answer: LCM of 732, 412, 669, 893, 915 is 75071420220.
2. How to calculate the LCM of 732, 412, 669, 893, 915?
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 732, 412, 669, 893, 915.
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}.