LCM of 874, 644, 754, 874, 335
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 644, 754, 874, 335 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, 644, 754, 874, 335. So, keep reading to learn more.
Given numbers are 874,644,754,874,335
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,644,754,874,335 is 1545345620.
Find LCM of 874,644,754,874,335 with Prime Factorization
| 2 | 874, 644, 754, 874, 335 |
| 19 | 437, 322, 377, 437, 335 |
| 23 | 23, 322, 377, 23, 335 |
| 1, 14, 377, 1, 335 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 23 x 1 x 14 x 377 x 1 x 335 = 1545345620
Therefore, the lowest common multiple of 874,644,754,874,335 is 1545345620.
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 644 x 754 x 874 x 335 = 124258150612960
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
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
754 : 1, 2, 13, 26, 29, 58, 377, 754
874 : 1, 2, 19, 23, 38, 46, 437, 874
335 : 1, 5, 67, 335
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,644,754,874,335, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
644:2x 2x 7x 23
754:2x 13x 29
874:2x 19x 23
335:5x 67
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 2x 19x 23x 23 = 80408
Therefore, the value for common factors is 80408.
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 = 124258150612960/(1x80408)
LCM = 124258150612960/80408
LCM = 1545345620
Thus, we can understand that the LCM of 874,644,754,874,335 is 1545345620.
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FAQs on LCM of 874, 644, 754, 874, 335
1. What is the LCM of 874, 644, 754, 874, 335?
Answer: LCM of 874, 644, 754, 874, 335 is 1545345620.
2. How to calculate the LCM of 874, 644, 754, 874, 335?
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, 644, 754, 874, 335.
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}.