LCM of 348, 535, 542, 725, 550
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 535, 542, 725, 550 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 348, 535, 542, 725, 550. So, keep reading to learn more.
Given numbers are 348,535,542,725,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,535,542,725,550 is 2775012900.
Find LCM of 348,535,542,725,550 with Prime Factorization
| 2 | 348, 535, 542, 725, 550 |
| 5 | 174, 535, 271, 725, 275 |
| 5 | 174, 107, 271, 145, 55 |
| 29 | 174, 107, 271, 29, 11 |
| 6, 107, 271, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 29 x 6 x 107 x 271 x 1 x 11 = 2775012900
Therefore, the lowest common multiple of 348,535,542,725,550 is 2775012900.
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.
348 x 535 x 542 x 725 x 550 = 40237687050000
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
535 : 1, 5, 107, 535
542 : 1, 2, 271, 542
725 : 1, 5, 25, 29, 145, 725
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,535,542,725,550, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
535:5x 107
542:2x 271
725:5x 5x 29
550:2x 5x 5x 11
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 5x 5x 5x 29 = 14500
Therefore, the value for common factors is 14500.
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 = 40237687050000/(1x14500)
LCM = 40237687050000/14500
LCM = 2775012900
Thus, we can understand that the LCM of 348,535,542,725,550 is 2775012900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 348, 535, 542, 725, 550
1. What is the LCM of 348, 535, 542, 725, 550?
Answer: LCM of 348, 535, 542, 725, 550 is 2775012900.
2. How to calculate the LCM of 348, 535, 542, 725, 550?
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 348, 535, 542, 725, 550.
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}.