LCM of 948, 671, 901, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 671, 901, 424 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 948, 671, 901, 424. So, keep reading to learn more.
Given numbers are 948,671,901,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,671,901,424 is 1146266616.
Find LCM of 948,671,901,424 with Prime Factorization
| 2 | 948, 671, 901, 424 |
| 2 | 474, 671, 901, 212 |
| 53 | 237, 671, 901, 106 |
| 237, 671, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 237 x 671 x 17 x 2 = 1146266616
Therefore, the lowest common multiple of 948,671,901,424 is 1146266616.
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.
948 x 671 x 901 x 424 = 243008522592
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
671 : 1, 11, 61, 671
901 : 1, 17, 53, 901
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,671,901,424, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
671:11x 61
901:17x 53
424:2x 2x 2x 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 53 = 212
Therefore, the value for common factors is 212.
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 = 243008522592/(1x212)
LCM = 243008522592/212
LCM = 1146266616
Thus, we can understand that the LCM of 948,671,901,424 is 1146266616.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 948, 671, 901, 424
1. What is the LCM of 948, 671, 901, 424?
Answer: LCM of 948, 671, 901, 424 is 1146266616.
2. How to calculate the LCM of 948, 671, 901, 424?
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 948, 671, 901, 424.
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}.