LCM of 107, 974, 948, 990, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 107, 974, 948, 990, 901 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 107, 974, 948, 990, 901. So, keep reading to learn more.
Given numbers are 107,974,948,990,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,974,948,990,901 is 7343951691780.
Find LCM of 107,974,948,990,901 with Prime Factorization
| 2 | 107, 974, 948, 990, 901 |
| 3 | 107, 487, 474, 495, 901 |
| 107, 487, 158, 165, 901 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 107 x 487 x 158 x 165 x 901 = 7343951691780
Therefore, the lowest common multiple of 107,974,948,990,901 is 7343951691780.
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.
107 x 974 x 948 x 990 x 901 = 88127420301360
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.
107 : 1, 107
974 : 1, 2, 487, 974
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,974,948,990,901, is 1.
Now, the common factors can be found like this.
107:107
974:2x 487
948:2x 2x 3x 79
990:2x 3x 3x 5x 11
901:17x 53
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 3 = 12
Therefore, the value for common factors is 12.
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 = 88127420301360/(1x12)
LCM = 88127420301360/12
LCM = 7343951691780
Thus, we can understand that the LCM of 107,974,948,990,901 is 7343951691780.
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FAQs on LCM of 107, 974, 948, 990, 901
1. What is the LCM of 107, 974, 948, 990, 901?
Answer: LCM of 107, 974, 948, 990, 901 is 7343951691780.
2. How to calculate the LCM of 107, 974, 948, 990, 901?
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 107, 974, 948, 990, 901.
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}.