LCM of 845, 942, 430, 175, 615
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 942, 430, 175, 615 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 845, 942, 430, 175, 615. So, keep reading to learn more.
Given numbers are 845,942,430,175,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,942,430,175,615 is 49116562950.
Find LCM of 845,942,430,175,615 with Prime Factorization
| 2 | 845, 942, 430, 175, 615 |
| 3 | 845, 471, 215, 175, 615 |
| 5 | 845, 157, 215, 175, 205 |
| 169, 157, 43, 35, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 169 x 157 x 43 x 35 x 41 = 49116562950
Therefore, the lowest common multiple of 845,942,430,175,615 is 49116562950.
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.
845 x 942 x 430 x 175 x 615 = 36837422212500
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.
845 : 1, 5, 13, 65, 169, 845
942 : 1, 2, 3, 6, 157, 314, 471, 942
430 : 1, 2, 5, 10, 43, 86, 215, 430
175 : 1, 5, 7, 25, 35, 175
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,942,430,175,615, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
942:2x 3x 157
430:2x 5x 43
175:5x 5x 7
615:3x 5x 41
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 5x 5 = 750
Therefore, the value for common factors is 750.
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 = 36837422212500/(1x750)
LCM = 36837422212500/750
LCM = 49116562950
Thus, we can understand that the LCM of 845,942,430,175,615 is 49116562950.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 845, 942, 430, 175, 615
1. What is the LCM of 845, 942, 430, 175, 615?
Answer: LCM of 845, 942, 430, 175, 615 is 49116562950.
2. How to calculate the LCM of 845, 942, 430, 175, 615?
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 845, 942, 430, 175, 615.
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}.