LCM of 950, 389, 870, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 389, 870, 174 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 950, 389, 870, 174. So, keep reading to learn more.
Given numbers are 950,389,870,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,389,870,174 is 32150850.
Find LCM of 950,389,870,174 with Prime Factorization
| 2 | 950, 389, 870, 174 |
| 3 | 475, 389, 435, 87 |
| 5 | 475, 389, 145, 29 |
| 29 | 95, 389, 29, 29 |
| 95, 389, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 95 x 389 x 1 x 1 = 32150850
Therefore, the lowest common multiple of 950,389,870,174 is 32150850.
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.
950 x 389 x 870 x 174 = 55942479000
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
389 : 1, 389
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,389,870,174, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
389:389
870:2x 3x 5x 29
174:2x 3x 29
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 5x 29 = 1740
Therefore, the value for common factors is 1740.
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 = 55942479000/(1x1740)
LCM = 55942479000/1740
LCM = 32150850
Thus, we can understand that the LCM of 950,389,870,174 is 32150850.
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FAQs on LCM of 950, 389, 870, 174
1. What is the LCM of 950, 389, 870, 174?
Answer: LCM of 950, 389, 870, 174 is 32150850.
2. How to calculate the LCM of 950, 389, 870, 174?
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 950, 389, 870, 174.
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}.