LCM of 175, 542, 331, 314, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 175, 542, 331, 314, 882 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 175, 542, 331, 314, 882. So, keep reading to learn more.
Given numbers are 175,542,331,314,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 175,542,331,314,882 is 310531406850.
Find LCM of 175,542,331,314,882 with Prime Factorization
| 2 | 175, 542, 331, 314, 882 |
| 7 | 175, 271, 331, 157, 441 |
| 25, 271, 331, 157, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 25 x 271 x 331 x 157 x 63 = 310531406850
Therefore, the lowest common multiple of 175,542,331,314,882 is 310531406850.
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.
175 x 542 x 331 x 314 x 882 = 8694879391800
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.
175 : 1, 5, 7, 25, 35, 175
542 : 1, 2, 271, 542
331 : 1, 331
314 : 1, 2, 157, 314
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 175,542,331,314,882, is 1.
Now, the common factors can be found like this.
175:5x 5x 7
542:2x 271
331:331
314:2x 157
882:2x 3x 3x 7x 7
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 7 = 28
Therefore, the value for common factors is 28.
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 = 8694879391800/(1x28)
LCM = 8694879391800/28
LCM = 310531406850
Thus, we can understand that the LCM of 175,542,331,314,882 is 310531406850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 175, 542, 331, 314, 882
1. What is the LCM of 175, 542, 331, 314, 882?
Answer: LCM of 175, 542, 331, 314, 882 is 310531406850.
2. How to calculate the LCM of 175, 542, 331, 314, 882?
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 175, 542, 331, 314, 882.
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}.