LCM of 532, 117, 678, 589, 950
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 117, 678, 589, 950 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 532, 117, 678, 589, 950. So, keep reading to learn more.
Given numbers are 532,117,678,589,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,117,678,589,950 is 5451018300.
Find LCM of 532,117,678,589,950 with Prime Factorization
| 2 | 532, 117, 678, 589, 950 |
| 3 | 266, 117, 339, 589, 475 |
| 19 | 266, 39, 113, 589, 475 |
| 14, 39, 113, 31, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 14 x 39 x 113 x 31 x 25 = 5451018300
Therefore, the lowest common multiple of 532,117,678,589,950 is 5451018300.
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.
532 x 117 x 678 x 589 x 950 = 23613811275600
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
117 : 1, 3, 9, 13, 39, 117
678 : 1, 2, 3, 6, 113, 226, 339, 678
589 : 1, 19, 31, 589
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,117,678,589,950, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
117:3x 3x 13
678:2x 3x 113
589:19x 31
950:2x 5x 5x 19
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 3x 19x 19 = 4332
Therefore, the value for common factors is 4332.
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 = 23613811275600/(1x4332)
LCM = 23613811275600/4332
LCM = 5451018300
Thus, we can understand that the LCM of 532,117,678,589,950 is 5451018300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 532, 117, 678, 589, 950
1. What is the LCM of 532, 117, 678, 589, 950?
Answer: LCM of 532, 117, 678, 589, 950 is 5451018300.
2. How to calculate the LCM of 532, 117, 678, 589, 950?
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 532, 117, 678, 589, 950.
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}.