LCM of 874, 759, 141, 901, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 759, 141, 901, 404 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 874, 759, 141, 901, 404. So, keep reading to learn more.
Given numbers are 874,759,141,901,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,759,141,901,404 is 246717179148.
Find LCM of 874,759,141,901,404 with Prime Factorization
| 2 | 874, 759, 141, 901, 404 |
| 3 | 437, 759, 141, 901, 202 |
| 23 | 437, 253, 47, 901, 202 |
| 19, 11, 47, 901, 202 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 19 x 11 x 47 x 901 x 202 = 246717179148
Therefore, the lowest common multiple of 874,759,141,901,404 is 246717179148.
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.
874 x 759 x 141 x 901 x 404 = 34046970722424
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
759 : 1, 3, 11, 23, 33, 69, 253, 759
141 : 1, 3, 47, 141
901 : 1, 17, 53, 901
404 : 1, 2, 4, 101, 202, 404
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,759,141,901,404, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
759:3x 11x 23
141:3x 47
901:17x 53
404:2x 2x 101
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 23 = 138
Therefore, the value for common factors is 138.
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 = 34046970722424/(1x138)
LCM = 34046970722424/138
LCM = 246717179148
Thus, we can understand that the LCM of 874,759,141,901,404 is 246717179148.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 759, 141, 901, 404
1. What is the LCM of 874, 759, 141, 901, 404?
Answer: LCM of 874, 759, 141, 901, 404 is 246717179148.
2. How to calculate the LCM of 874, 759, 141, 901, 404?
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 874, 759, 141, 901, 404.
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}.