LCM of 479, 546, 897, 118, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 546, 897, 118, 948 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 479, 546, 897, 118, 948. So, keep reading to learn more.
Given numbers are 479,546,897,118,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,546,897,118,948 is 56074458804.
Find LCM of 479,546,897,118,948 with Prime Factorization
| 2 | 479, 546, 897, 118, 948 |
| 3 | 479, 273, 897, 59, 474 |
| 13 | 479, 91, 299, 59, 158 |
| 479, 7, 23, 59, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 479 x 7 x 23 x 59 x 158 = 56074458804
Therefore, the lowest common multiple of 479,546,897,118,948 is 56074458804.
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.
479 x 546 x 897 x 118 x 948 = 26242846720272
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.
479 : 1, 479
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
897 : 1, 3, 13, 23, 39, 69, 299, 897
118 : 1, 2, 59, 118
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,546,897,118,948, is 1.
Now, the common factors can be found like this.
479:479
546:2x 3x 7x 13
897:3x 13x 23
118:2x 59
948:2x 2x 3x 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 3x 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 26242846720272/(1x468)
LCM = 26242846720272/468
LCM = 56074458804
Thus, we can understand that the LCM of 479,546,897,118,948 is 56074458804.
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FAQs on LCM of 479, 546, 897, 118, 948
1. What is the LCM of 479, 546, 897, 118, 948?
Answer: LCM of 479, 546, 897, 118, 948 is 56074458804.
2. How to calculate the LCM of 479, 546, 897, 118, 948?
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 479, 546, 897, 118, 948.
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}.