LCM of 595, 550, 870, 149, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 550, 870, 149, 355 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 595, 550, 870, 149, 355. So, keep reading to learn more.
Given numbers are 595,550,870,149,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,550,870,149,355 is 60238412850.
Find LCM of 595,550,870,149,355 with Prime Factorization
| 2 | 595, 550, 870, 149, 355 |
| 5 | 595, 275, 435, 149, 355 |
| 119, 55, 87, 149, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 119 x 55 x 87 x 149 x 71 = 60238412850
Therefore, the lowest common multiple of 595,550,870,149,355 is 60238412850.
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.
595 x 550 x 870 x 149 x 355 = 15059603212500
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
149 : 1, 149
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,550,870,149,355, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
550:2x 5x 5x 11
870:2x 3x 5x 29
149:149
355:5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5 = 250
Therefore, the value for common factors is 250.
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 = 15059603212500/(1x250)
LCM = 15059603212500/250
LCM = 60238412850
Thus, we can understand that the LCM of 595,550,870,149,355 is 60238412850.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 595, 550, 870, 149, 355
1. What is the LCM of 595, 550, 870, 149, 355?
Answer: LCM of 595, 550, 870, 149, 355 is 60238412850.
2. How to calculate the LCM of 595, 550, 870, 149, 355?
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 595, 550, 870, 149, 355.
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}.