LCM of 501, 926, 392, 980, 579
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 501, 926, 392, 980, 579 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 501, 926, 392, 980, 579. So, keep reading to learn more.
Given numbers are 501,926,392,980,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 501,926,392,980,579 is 87746963640.
Find LCM of 501,926,392,980,579 with Prime Factorization
| 2 | 501, 926, 392, 980, 579 |
| 2 | 501, 463, 196, 490, 579 |
| 3 | 501, 463, 98, 245, 579 |
| 7 | 167, 463, 98, 245, 193 |
| 7 | 167, 463, 14, 35, 193 |
| 167, 463, 2, 5, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 167 x 463 x 2 x 5 x 193 = 87746963640
Therefore, the lowest common multiple of 501,926,392,980,579 is 87746963640.
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.
501 x 926 x 392 x 980 x 579 = 103190429240640
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.
501 : 1, 3, 167, 501
926 : 1, 2, 463, 926
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,926,392,980,579, is 1.
Now, the common factors can be found like this.
501:3x 167
926:2x 463
392:2x 2x 2x 7x 7
980:2x 2x 5x 7x 7
579:3x 193
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 3x 7x 7 = 1176
Therefore, the value for common factors is 1176.
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 = 103190429240640/(1x1176)
LCM = 103190429240640/1176
LCM = 87746963640
Thus, we can understand that the LCM of 501,926,392,980,579 is 87746963640.
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FAQs on LCM of 501, 926, 392, 980, 579
1. What is the LCM of 501, 926, 392, 980, 579?
Answer: LCM of 501, 926, 392, 980, 579 is 87746963640.
2. How to calculate the LCM of 501, 926, 392, 980, 579?
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 501, 926, 392, 980, 579.
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}.