LCM of 964, 546, 160, 175
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 546, 160, 175 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 964, 546, 160, 175. So, keep reading to learn more.
Given numbers are 964,546,160,175
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,546,160,175 is 52634400.
Find LCM of 964,546,160,175 with Prime Factorization
| 2 | 964, 546, 160, 175 |
| 2 | 482, 273, 80, 175 |
| 5 | 241, 273, 40, 175 |
| 7 | 241, 273, 8, 35 |
| 241, 39, 8, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 241 x 39 x 8 x 5 = 52634400
Therefore, the lowest common multiple of 964,546,160,175 is 52634400.
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.
964 x 546 x 160 x 175 = 14737632000
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.
964 : 1, 2, 4, 241, 482, 964
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
175 : 1, 5, 7, 25, 35, 175
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,546,160,175, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
546:2x 3x 7x 13
160:2x 2x 2x 2x 2x 5
175:5x 5x 7
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 2x 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 14737632000/(1x280)
LCM = 14737632000/280
LCM = 52634400
Thus, we can understand that the LCM of 964,546,160,175 is 52634400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 546, 160, 175
1. What is the LCM of 964, 546, 160, 175?
Answer: LCM of 964, 546, 160, 175 is 52634400.
2. How to calculate the LCM of 964, 546, 160, 175?
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 964, 546, 160, 175.
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}.