LCM of 564, 470, 572, 144, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 470, 572, 144, 106 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, 470, 572, 144, 106. So, keep reading to learn more.
Given numbers are 564,470,572,144,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,470,572,144,106 is 256473360.
Find LCM of 564,470,572,144,106 with Prime Factorization
| 2 | 564, 470, 572, 144, 106 |
| 2 | 282, 235, 286, 72, 53 |
| 3 | 141, 235, 143, 36, 53 |
| 47 | 47, 235, 143, 12, 53 |
| 1, 5, 143, 12, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 1 x 5 x 143 x 12 x 53 = 256473360
Therefore, the lowest common multiple of 564,470,572,144,106 is 256473360.
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 470 x 572 x 144 x 106 = 2314415600640
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
470 : 1, 2, 5, 10, 47, 94, 235, 470
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
106 : 1, 2, 53, 106
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,470,572,144,106, is 2.
Now, the common factors can be found like this.
564:2x 2x 3x 47
470:2x 5x 47
572:2x 2x 11x 13
144:2x 2x 2x 2x 3x 3
106:2x 53
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 3x 47 = 4512
Therefore, the value for common factors is 4512.
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 = 2314415600640/(2x4512)
LCM = 2314415600640/9024
LCM = 256473360
Thus, we can understand that the LCM of 564,470,572,144,106 is 256473360.
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FAQs on LCM of 564, 470, 572, 144, 106
1. What is the LCM of 564, 470, 572, 144, 106?
Answer: LCM of 564, 470, 572, 144, 106 is 256473360.
2. How to calculate the LCM of 564, 470, 572, 144, 106?
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, 470, 572, 144, 106.
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}.