LCM of 595, 953, 858, 330, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 953, 858, 330, 707 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, 953, 858, 330, 707. So, keep reading to learn more.
Given numbers are 595,953,858,330,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,953,858,330,707 is 49138119030.
Find LCM of 595,953,858,330,707 with Prime Factorization
| 2 | 595, 953, 858, 330, 707 |
| 3 | 595, 953, 429, 165, 707 |
| 5 | 595, 953, 143, 55, 707 |
| 7 | 119, 953, 143, 11, 707 |
| 11 | 17, 953, 143, 11, 101 |
| 17, 953, 13, 1, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 17 x 953 x 13 x 1 x 101 = 49138119030
Therefore, the lowest common multiple of 595,953,858,330,707 is 49138119030.
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 953 x 858 x 330 x 707 = 113509054959300
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
953 : 1, 953
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,953,858,330,707, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
953:953
858:2x 3x 11x 13
330:2x 3x 5x 11
707:7x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7x 11 = 2310
Therefore, the value for common factors is 2310.
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 = 113509054959300/(1x2310)
LCM = 113509054959300/2310
LCM = 49138119030
Thus, we can understand that the LCM of 595,953,858,330,707 is 49138119030.
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FAQs on LCM of 595, 953, 858, 330, 707
1. What is the LCM of 595, 953, 858, 330, 707?
Answer: LCM of 595, 953, 858, 330, 707 is 49138119030.
2. How to calculate the LCM of 595, 953, 858, 330, 707?
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, 953, 858, 330, 707.
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}.