LCM of 130, 990, 174, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 130, 990, 174, 746 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 130, 990, 174, 746. So, keep reading to learn more.
Given numbers are 130,990,174,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 130,990,174,746 is 139214790.
Find LCM of 130,990,174,746 with Prime Factorization
| 2 | 130, 990, 174, 746 |
| 3 | 65, 495, 87, 373 |
| 5 | 65, 165, 29, 373 |
| 13, 33, 29, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 33 x 29 x 373 = 139214790
Therefore, the lowest common multiple of 130,990,174,746 is 139214790.
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.
130 x 990 x 174 x 746 = 16705774800
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.
130 : 1, 2, 5, 10, 13, 26, 65, 130
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
174 : 1, 2, 3, 6, 29, 58, 87, 174
746 : 1, 2, 373, 746
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,990,174,746, is 2.
Now, the common factors can be found like this.
130:2x 5x 13
990:2x 3x 3x 5x 11
174:2x 3x 29
746:2x 373
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 5 = 60
Therefore, the value for common factors is 60.
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 = 16705774800/(2x60)
LCM = 16705774800/120
LCM = 139214790
Thus, we can understand that the LCM of 130,990,174,746 is 139214790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 130, 990, 174, 746
1. What is the LCM of 130, 990, 174, 746?
Answer: LCM of 130, 990, 174, 746 is 139214790.
2. How to calculate the LCM of 130, 990, 174, 746?
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 130, 990, 174, 746.
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}.