LCM of 952, 540, 465, 716, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 540, 465, 716, 936 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 952, 540, 465, 716, 936. So, keep reading to learn more.
Given numbers are 952,540,465,716,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,540,465,716,936 is 9271047240.
Find LCM of 952,540,465,716,936 with Prime Factorization
| 2 | 952, 540, 465, 716, 936 |
| 2 | 476, 270, 465, 358, 468 |
| 2 | 238, 135, 465, 179, 234 |
| 3 | 119, 135, 465, 179, 117 |
| 3 | 119, 45, 155, 179, 39 |
| 5 | 119, 15, 155, 179, 13 |
| 119, 3, 31, 179, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 119 x 3 x 31 x 179 x 13 = 9271047240
Therefore, the lowest common multiple of 952,540,465,716,936 is 9271047240.
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.
952 x 540 x 465 x 716 x 936 = 160203696307200
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
465 : 1, 3, 5, 15, 31, 93, 155, 465
716 : 1, 2, 4, 179, 358, 716
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,540,465,716,936, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
540:2x 2x 3x 3x 3x 5
465:3x 5x 31
716:2x 2x 179
936:2x 2x 2x 3x 3x 13
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 2x 2x 2x 2x 3x 3x 3x 5 = 17280
Therefore, the value for common factors is 17280.
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 = 160203696307200/(1x17280)
LCM = 160203696307200/17280
LCM = 9271047240
Thus, we can understand that the LCM of 952,540,465,716,936 is 9271047240.
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FAQs on LCM of 952, 540, 465, 716, 936
1. What is the LCM of 952, 540, 465, 716, 936?
Answer: LCM of 952, 540, 465, 716, 936 is 9271047240.
2. How to calculate the LCM of 952, 540, 465, 716, 936?
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 952, 540, 465, 716, 936.
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}.