LCM of 532, 646, 783, 798, 372
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 646, 783, 798, 372 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 532, 646, 783, 798, 372. So, keep reading to learn more.
Given numbers are 532,646,783,798,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,646,783,798,372 is 219525012.
Find LCM of 532,646,783,798,372 with Prime Factorization
| 2 | 532, 646, 783, 798, 372 |
| 2 | 266, 323, 783, 399, 186 |
| 3 | 133, 323, 783, 399, 93 |
| 7 | 133, 323, 261, 133, 31 |
| 19 | 19, 323, 261, 19, 31 |
| 1, 17, 261, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 1 x 17 x 261 x 1 x 31 = 219525012
Therefore, the lowest common multiple of 532,646,783,798,372 is 219525012.
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.
532 x 646 x 783 x 798 x 372 = 79882517566656
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
646 : 1, 2, 17, 19, 34, 38, 323, 646
783 : 1, 3, 9, 27, 29, 87, 261, 783
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,646,783,798,372, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
646:2x 17x 19
783:3x 3x 3x 29
798:2x 3x 7x 19
372:2x 2x 3x 31
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 7x 19x 19 = 363888
Therefore, the value for common factors is 363888.
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 = 79882517566656/(1x363888)
LCM = 79882517566656/363888
LCM = 219525012
Thus, we can understand that the LCM of 532,646,783,798,372 is 219525012.
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FAQs on LCM of 532, 646, 783, 798, 372
1. What is the LCM of 532, 646, 783, 798, 372?
Answer: LCM of 532, 646, 783, 798, 372 is 219525012.
2. How to calculate the LCM of 532, 646, 783, 798, 372?
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 532, 646, 783, 798, 372.
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}.