LCM of 941, 340, 947, 404, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 941, 340, 947, 404, 632 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, 340, 947, 404, 632. So, keep reading to learn more.
Given numbers are 941,340,947,404,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,340,947,404,632 is 4835005586440.
Find LCM of 941,340,947,404,632 with Prime Factorization
| 2 | 941, 340, 947, 404, 632 |
| 2 | 941, 170, 947, 202, 316 |
| 941, 85, 947, 101, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 941 x 85 x 947 x 101 x 158 = 4835005586440
Therefore, the lowest common multiple of 941,340,947,404,632 is 4835005586440.
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 340 x 947 x 404 x 632 = 77360089383040
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
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
947 : 1, 947
404 : 1, 2, 4, 101, 202, 404
632 : 1, 2, 4, 8, 79, 158, 316, 632
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,340,947,404,632, is 1.
Now, the common factors can be found like this.
941:941
340:2x 2x 5x 17
947:947
404:2x 2x 101
632:2x 2x 2x 79
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 2 = 16
Therefore, the value for common factors is 16.
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 = 77360089383040/(1x16)
LCM = 77360089383040/16
LCM = 4835005586440
Thus, we can understand that the LCM of 941,340,947,404,632 is 4835005586440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 941, 340, 947, 404, 632
1. What is the LCM of 941, 340, 947, 404, 632?
Answer: LCM of 941, 340, 947, 404, 632 is 4835005586440.
2. How to calculate the LCM of 941, 340, 947, 404, 632?
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, 340, 947, 404, 632.
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}.