LCM of 127, 749, 978, 875, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 127, 749, 978, 875, 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 127, 749, 978, 875, 948. So, keep reading to learn more.
Given numbers are 127,749,978,875,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 127,749,978,875,948 is 1837348306500.
Find LCM of 127,749,978,875,948 with Prime Factorization
| 2 | 127, 749, 978, 875, 948 |
| 3 | 127, 749, 489, 875, 474 |
| 7 | 127, 749, 163, 875, 158 |
| 127, 107, 163, 125, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 127 x 107 x 163 x 125 x 158 = 1837348306500
Therefore, the lowest common multiple of 127,749,978,875,948 is 1837348306500.
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.
127 x 749 x 978 x 875 x 948 = 77168628873000
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.
127 : 1, 127
749 : 1, 7, 107, 749
978 : 1, 2, 3, 6, 163, 326, 489, 978
875 : 1, 5, 7, 25, 35, 125, 175, 875
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 127,749,978,875,948, is 1.
Now, the common factors can be found like this.
127:127
749:7x 107
978:2x 3x 163
875:5x 5x 5x 7
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 3x 7 = 42
Therefore, the value for common factors is 42.
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 = 77168628873000/(1x42)
LCM = 77168628873000/42
LCM = 1837348306500
Thus, we can understand that the LCM of 127,749,978,875,948 is 1837348306500.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 127, 749, 978, 875, 948
1. What is the LCM of 127, 749, 978, 875, 948?
Answer: LCM of 127, 749, 978, 875, 948 is 1837348306500.
2. How to calculate the LCM of 127, 749, 978, 875, 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 127, 749, 978, 875, 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}.