LCM of 562, 136, 532, 874, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 562, 136, 532, 874, 170 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 562, 136, 532, 874, 170. So, keep reading to learn more.
Given numbers are 562,136,532,874,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,136,532,874,170 is 584513720.
Find LCM of 562,136,532,874,170 with Prime Factorization
| 2 | 562, 136, 532, 874, 170 |
| 2 | 281, 68, 266, 437, 85 |
| 17 | 281, 34, 133, 437, 85 |
| 19 | 281, 2, 133, 437, 5 |
| 281, 2, 7, 23, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 19 x 281 x 2 x 7 x 23 x 5 = 584513720
Therefore, the lowest common multiple of 562,136,532,874,170 is 584513720.
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.
562 x 136 x 532 x 874 x 170 = 6041533809920
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.
562 : 1, 2, 281, 562
136 : 1, 2, 4, 8, 17, 34, 68, 136
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
874 : 1, 2, 19, 23, 38, 46, 437, 874
170 : 1, 2, 5, 10, 17, 34, 85, 170
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,136,532,874,170, is 2.
Now, the common factors can be found like this.
562:2x 281
136:2x 2x 2x 17
532:2x 2x 7x 19
874:2x 19x 23
170:2x 5x 17
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 17x 19 = 5168
Therefore, the value for common factors is 5168.
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 = 6041533809920/(2x5168)
LCM = 6041533809920/10336
LCM = 584513720
Thus, we can understand that the LCM of 562,136,532,874,170 is 584513720.
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FAQs on LCM of 562, 136, 532, 874, 170
1. What is the LCM of 562, 136, 532, 874, 170?
Answer: LCM of 562, 136, 532, 874, 170 is 584513720.
2. How to calculate the LCM of 562, 136, 532, 874, 170?
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 562, 136, 532, 874, 170.
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}.