LCM of 941, 972, 358, 576, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 941, 972, 358, 576, 270 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 941, 972, 358, 576, 270. So, keep reading to learn more.
Given numbers are 941,972,358,576,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,972,358,576,270 is 13097816640.
Find LCM of 941,972,358,576,270 with Prime Factorization
| 2 | 941, 972, 358, 576, 270 |
| 2 | 941, 486, 179, 288, 135 |
| 3 | 941, 243, 179, 144, 135 |
| 3 | 941, 81, 179, 48, 45 |
| 3 | 941, 27, 179, 16, 15 |
| 941, 9, 179, 16, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 941 x 9 x 179 x 16 x 5 = 13097816640
Therefore, the lowest common multiple of 941,972,358,576,270 is 13097816640.
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.
941 x 972 x 358 x 576 x 270 = 50924311096320
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.
941 : 1, 941
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
358 : 1, 2, 179, 358
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,972,358,576,270, is 1.
Now, the common factors can be found like this.
941:941
972:2x 2x 3x 3x 3x 3x 3
358:2x 179
576:2x 2x 2x 2x 2x 2x 3x 3
270:2x 3x 3x 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.
2x 2x 2x 2x 3x 3x 3x 3x 3 = 3888
Therefore, the value for common factors is 3888.
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 = 50924311096320/(1x3888)
LCM = 50924311096320/3888
LCM = 13097816640
Thus, we can understand that the LCM of 941,972,358,576,270 is 13097816640.
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FAQs on LCM of 941, 972, 358, 576, 270
1. What is the LCM of 941, 972, 358, 576, 270?
Answer: LCM of 941, 972, 358, 576, 270 is 13097816640.
2. How to calculate the LCM of 941, 972, 358, 576, 270?
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 941, 972, 358, 576, 270.
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}.