LCM of 874, 778, 704, 234, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 778, 704, 234, 348 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, 778, 704, 234, 348. So, keep reading to learn more.
Given numbers are 874,778,704,234,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,778,704,234,348 is 406057519296.
Find LCM of 874,778,704,234,348 with Prime Factorization
| 2 | 874, 778, 704, 234, 348 |
| 2 | 437, 389, 352, 117, 174 |
| 3 | 437, 389, 176, 117, 87 |
| 437, 389, 176, 39, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 437 x 389 x 176 x 39 x 29 = 406057519296
Therefore, the lowest common multiple of 874,778,704,234,348 is 406057519296.
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 778 x 704 x 234 x 348 = 38981521852416
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
778 : 1, 2, 389, 778
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,778,704,234,348, is 2.
Now, the common factors can be found like this.
874:2x 19x 23
778:2x 389
704:2x 2x 2x 2x 2x 2x 11
234:2x 3x 3x 13
348:2x 2x 3x 29
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 38981521852416/(2x48)
LCM = 38981521852416/96
LCM = 406057519296
Thus, we can understand that the LCM of 874,778,704,234,348 is 406057519296.
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FAQs on LCM of 874, 778, 704, 234, 348
1. What is the LCM of 874, 778, 704, 234, 348?
Answer: LCM of 874, 778, 704, 234, 348 is 406057519296.
2. How to calculate the LCM of 874, 778, 704, 234, 348?
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, 778, 704, 234, 348.
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}.