LCM of 561, 502, 572, 472, 926
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 502, 572, 472, 926 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 561, 502, 572, 472, 926. So, keep reading to learn more.
Given numbers are 561,502,572,472,926
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,502,572,472,926 is 400039545048.
Find LCM of 561,502,572,472,926 with Prime Factorization
| 2 | 561, 502, 572, 472, 926 |
| 2 | 561, 251, 286, 236, 463 |
| 11 | 561, 251, 143, 118, 463 |
| 51, 251, 13, 118, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 51 x 251 x 13 x 118 x 463 = 400039545048
Therefore, the lowest common multiple of 561,502,572,472,926 is 400039545048.
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.
561 x 502 x 572 x 472 x 926 = 70406959928448
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
502 : 1, 2, 251, 502
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
472 : 1, 2, 4, 8, 59, 118, 236, 472
926 : 1, 2, 463, 926
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,502,572,472,926, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
502:2x 251
572:2x 2x 11x 13
472:2x 2x 2x 59
926:2x 463
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 11 = 176
Therefore, the value for common factors is 176.
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 = 70406959928448/(1x176)
LCM = 70406959928448/176
LCM = 400039545048
Thus, we can understand that the LCM of 561,502,572,472,926 is 400039545048.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 502, 572, 472, 926
1. What is the LCM of 561, 502, 572, 472, 926?
Answer: LCM of 561, 502, 572, 472, 926 is 400039545048.
2. How to calculate the LCM of 561, 502, 572, 472, 926?
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 561, 502, 572, 472, 926.
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}.