LCM of 957, 113, 185, 145, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 113, 185, 145, 240 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 957, 113, 185, 145, 240. So, keep reading to learn more.
Given numbers are 957,113,185,145,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,113,185,145,240 is 320097360.
Find LCM of 957,113,185,145,240 with Prime Factorization
| 3 | 957, 113, 185, 145, 240 |
| 5 | 319, 113, 185, 145, 80 |
| 29 | 319, 113, 37, 29, 16 |
| 11, 113, 37, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 29 x 11 x 113 x 37 x 1 x 16 = 320097360
Therefore, the lowest common multiple of 957,113,185,145,240 is 320097360.
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.
957 x 113 x 185 x 145 x 240 = 696211758000
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
113 : 1, 113
185 : 1, 5, 37, 185
145 : 1, 5, 29, 145
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,113,185,145,240, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
113:113
185:5x 37
145:5x 29
240:2x 2x 2x 2x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 29 = 2175
Therefore, the value for common factors is 2175.
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 = 696211758000/(1x2175)
LCM = 696211758000/2175
LCM = 320097360
Thus, we can understand that the LCM of 957,113,185,145,240 is 320097360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 957, 113, 185, 145, 240
1. What is the LCM of 957, 113, 185, 145, 240?
Answer: LCM of 957, 113, 185, 145, 240 is 320097360.
2. How to calculate the LCM of 957, 113, 185, 145, 240?
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 957, 113, 185, 145, 240.
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}.