LCM of 564, 174, 517, 140, 637
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 174, 517, 140, 637 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 564, 174, 517, 140, 637. So, keep reading to learn more.
Given numbers are 564,174,517,140,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,174,517,140,637 is 573032460.
Find LCM of 564,174,517,140,637 with Prime Factorization
| 2 | 564, 174, 517, 140, 637 |
| 2 | 282, 87, 517, 70, 637 |
| 3 | 141, 87, 517, 35, 637 |
| 7 | 47, 29, 517, 35, 637 |
| 47 | 47, 29, 517, 5, 91 |
| 1, 29, 11, 5, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 47 x 1 x 29 x 11 x 5 x 91 = 573032460
Therefore, the lowest common multiple of 564,174,517,140,637 is 573032460.
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.
564 x 174 x 517 x 140 x 637 = 4524664304160
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
174 : 1, 2, 3, 6, 29, 58, 87, 174
517 : 1, 11, 47, 517
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,174,517,140,637, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
174:2x 3x 29
517:11x 47
140:2x 2x 5x 7
637:7x 7x 13
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 47 = 7896
Therefore, the value for common factors is 7896.
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 = 4524664304160/(1x7896)
LCM = 4524664304160/7896
LCM = 573032460
Thus, we can understand that the LCM of 564,174,517,140,637 is 573032460.
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FAQs on LCM of 564, 174, 517, 140, 637
1. What is the LCM of 564, 174, 517, 140, 637?
Answer: LCM of 564, 174, 517, 140, 637 is 573032460.
2. How to calculate the LCM of 564, 174, 517, 140, 637?
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 564, 174, 517, 140, 637.
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}.