LCM of 974, 948, 198, 347, 913
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 948, 198, 347, 913 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 974, 948, 198, 347, 913. So, keep reading to learn more.
Given numbers are 974,948,198,347,913
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,948,198,347,913 is 438792105708.
Find LCM of 974,948,198,347,913 with Prime Factorization
| 2 | 974, 948, 198, 347, 913 |
| 3 | 487, 474, 99, 347, 913 |
| 11 | 487, 158, 33, 347, 913 |
| 487, 158, 3, 347, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 487 x 158 x 3 x 347 x 83 = 438792105708
Therefore, the lowest common multiple of 974,948,198,347,913 is 438792105708.
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.
974 x 948 x 198 x 347 x 913 = 57920557953456
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.
974 : 1, 2, 487, 974
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
347 : 1, 347
913 : 1, 11, 83, 913
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,948,198,347,913, is 1.
Now, the common factors can be found like this.
974:2x 487
948:2x 2x 3x 79
198:2x 3x 3x 11
347:347
913:11x 83
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 11 = 132
Therefore, the value for common factors is 132.
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 = 57920557953456/(1x132)
LCM = 57920557953456/132
LCM = 438792105708
Thus, we can understand that the LCM of 974,948,198,347,913 is 438792105708.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 974, 948, 198, 347, 913
1. What is the LCM of 974, 948, 198, 347, 913?
Answer: LCM of 974, 948, 198, 347, 913 is 438792105708.
2. How to calculate the LCM of 974, 948, 198, 347, 913?
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 974, 948, 198, 347, 913.
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}.