LCM of 174, 199, 942, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 199, 942, 130 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 174, 199, 942, 130. So, keep reading to learn more.
Given numbers are 174,199,942,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,199,942,130 is 353358330.
Find LCM of 174,199,942,130 with Prime Factorization
| 2 | 174, 199, 942, 130 |
| 3 | 87, 199, 471, 65 |
| 29, 199, 157, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 199 x 157 x 65 = 353358330
Therefore, the lowest common multiple of 174,199,942,130 is 353358330.
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.
174 x 199 x 942 x 130 = 4240299960
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
199 : 1, 199
942 : 1, 2, 3, 6, 157, 314, 471, 942
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,199,942,130, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
199:199
942:2x 3x 157
130:2x 5x 13
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 3 = 12
Therefore, the value for common factors is 12.
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 = 4240299960/(1x12)
LCM = 4240299960/12
LCM = 353358330
Thus, we can understand that the LCM of 174,199,942,130 is 353358330.
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FAQs on LCM of 174, 199, 942, 130
1. What is the LCM of 174, 199, 942, 130?
Answer: LCM of 174, 199, 942, 130 is 353358330.
2. How to calculate the LCM of 174, 199, 942, 130?
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 174, 199, 942, 130.
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}.