LCM of 874, 207, 684, 319, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 207, 684, 319, 465 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, 207, 684, 319, 465. So, keep reading to learn more.
Given numbers are 874,207,684,319,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,207,684,319,465 is 777868740.
Find LCM of 874,207,684,319,465 with Prime Factorization
| 2 | 874, 207, 684, 319, 465 |
| 3 | 437, 207, 342, 319, 465 |
| 3 | 437, 69, 114, 319, 155 |
| 19 | 437, 23, 38, 319, 155 |
| 23 | 23, 23, 2, 319, 155 |
| 1, 1, 2, 319, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 23 x 1 x 1 x 2 x 319 x 155 = 777868740
Therefore, the lowest common multiple of 874,207,684,319,465 is 777868740.
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 207 x 684 x 319 x 465 = 18356146526520
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
207 : 1, 3, 9, 23, 69, 207
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
319 : 1, 11, 29, 319
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,207,684,319,465, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
207:3x 3x 23
684:2x 2x 3x 3x 19
319:11x 29
465:3x 5x 31
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 3x 3x 19x 23 = 23598
Therefore, the value for common factors is 23598.
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 = 18356146526520/(1x23598)
LCM = 18356146526520/23598
LCM = 777868740
Thus, we can understand that the LCM of 874,207,684,319,465 is 777868740.
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FAQs on LCM of 874, 207, 684, 319, 465
1. What is the LCM of 874, 207, 684, 319, 465?
Answer: LCM of 874, 207, 684, 319, 465 is 777868740.
2. How to calculate the LCM of 874, 207, 684, 319, 465?
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, 207, 684, 319, 465.
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}.