LCM of 732, 788, 780, 828, 244
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 788, 780, 828, 244 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, 788, 780, 828, 244. So, keep reading to learn more.
Given numbers are 732,788,780,828,244
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,788,780,828,244 is 646754940.
Find LCM of 732,788,780,828,244 with Prime Factorization
| 2 | 732, 788, 780, 828, 244 |
| 2 | 366, 394, 390, 414, 122 |
| 3 | 183, 197, 195, 207, 61 |
| 61 | 61, 197, 65, 69, 61 |
| 1, 197, 65, 69, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 1 x 197 x 65 x 69 x 1 = 646754940
Therefore, the lowest common multiple of 732,788,780,828,244 is 646754940.
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 788 x 780 x 828 x 244 = 90897526287360
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
788 : 1, 2, 4, 197, 394, 788
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
244 : 1, 2, 4, 61, 122, 244
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,788,780,828,244, is 4.
Now, the common factors can be found like this.
732:2x 2x 3x 61
788:2x 2x 197
780:2x 2x 3x 5x 13
828:2x 2x 3x 3x 23
244:2x 2x 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 2x 2x 2x 2x 3x 3x 61 = 35136
Therefore, the value for common factors is 35136.
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 = 90897526287360/(4x35136)
LCM = 90897526287360/140544
LCM = 646754940
Thus, we can understand that the LCM of 732,788,780,828,244 is 646754940.
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FAQs on LCM of 732, 788, 780, 828, 244
1. What is the LCM of 732, 788, 780, 828, 244?
Answer: LCM of 732, 788, 780, 828, 244 is 646754940.
2. How to calculate the LCM of 732, 788, 780, 828, 244?
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, 788, 780, 828, 244.
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}.