LCM of 704, 788, 946, 596, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 788, 946, 596, 374 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 704, 788, 946, 596, 374. So, keep reading to learn more.
Given numbers are 704,788,946,596,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,788,946,596,374 is 15105758272.
Find LCM of 704,788,946,596,374 with Prime Factorization
| 2 | 704, 788, 946, 596, 374 |
| 2 | 352, 394, 473, 298, 187 |
| 11 | 176, 197, 473, 149, 187 |
| 16, 197, 43, 149, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 16 x 197 x 43 x 149 x 17 = 15105758272
Therefore, the lowest common multiple of 704,788,946,596,374 is 15105758272.
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.
704 x 788 x 946 x 596 x 374 = 116978992058368
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
788 : 1, 2, 4, 197, 394, 788
946 : 1, 2, 11, 22, 43, 86, 473, 946
596 : 1, 2, 4, 149, 298, 596
374 : 1, 2, 11, 17, 22, 34, 187, 374
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,788,946,596,374, is 2.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
788:2x 2x 197
946:2x 11x 43
596:2x 2x 149
374:2x 11x 17
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 2x 11x 11 = 3872
Therefore, the value for common factors is 3872.
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 = 116978992058368/(2x3872)
LCM = 116978992058368/7744
LCM = 15105758272
Thus, we can understand that the LCM of 704,788,946,596,374 is 15105758272.
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FAQs on LCM of 704, 788, 946, 596, 374
1. What is the LCM of 704, 788, 946, 596, 374?
Answer: LCM of 704, 788, 946, 596, 374 is 15105758272.
2. How to calculate the LCM of 704, 788, 946, 596, 374?
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 704, 788, 946, 596, 374.
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}.