LCM of 416, 542, 375, 695, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 542, 375, 695, 872 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 416, 542, 375, 695, 872. So, keep reading to learn more.
Given numbers are 416,542,375,695,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,542,375,695,872 is 640523676000.
Find LCM of 416,542,375,695,872 with Prime Factorization
| 2 | 416, 542, 375, 695, 872 |
| 2 | 208, 271, 375, 695, 436 |
| 2 | 104, 271, 375, 695, 218 |
| 5 | 52, 271, 375, 695, 109 |
| 52, 271, 75, 139, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 52 x 271 x 75 x 139 x 109 = 640523676000
Therefore, the lowest common multiple of 416,542,375,695,872 is 640523676000.
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.
416 x 542 x 375 x 695 x 872 = 51241894080000
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
542 : 1, 2, 271, 542
375 : 1, 3, 5, 15, 25, 75, 125, 375
695 : 1, 5, 139, 695
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,542,375,695,872, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
542:2x 271
375:3x 5x 5x 5
695:5x 139
872:2x 2x 2x 109
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 5 = 80
Therefore, the value for common factors is 80.
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 = 51241894080000/(1x80)
LCM = 51241894080000/80
LCM = 640523676000
Thus, we can understand that the LCM of 416,542,375,695,872 is 640523676000.
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FAQs on LCM of 416, 542, 375, 695, 872
1. What is the LCM of 416, 542, 375, 695, 872?
Answer: LCM of 416, 542, 375, 695, 872 is 640523676000.
2. How to calculate the LCM of 416, 542, 375, 695, 872?
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 416, 542, 375, 695, 872.
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}.