LCM of 374, 578, 476, 594, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 578, 476, 594, 329 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 374, 578, 476, 594, 329. So, keep reading to learn more.
Given numbers are 374,578,476,594,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,578,476,594,329 is 112956228.
Find LCM of 374,578,476,594,329 with Prime Factorization
| 2 | 374, 578, 476, 594, 329 |
| 7 | 187, 289, 238, 297, 329 |
| 11 | 187, 289, 34, 297, 47 |
| 17 | 17, 289, 34, 27, 47 |
| 1, 17, 2, 27, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 17 x 1 x 17 x 2 x 27 x 47 = 112956228
Therefore, the lowest common multiple of 374,578,476,594,329 is 112956228.
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.
374 x 578 x 476 x 594 x 329 = 20108919533472
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
578 : 1, 2, 17, 34, 289, 578
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,578,476,594,329, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
578:2x 17x 17
476:2x 2x 7x 17
594:2x 3x 3x 3x 11
329:7x 47
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 7x 11x 17x 17 = 178024
Therefore, the value for common factors is 178024.
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 = 20108919533472/(1x178024)
LCM = 20108919533472/178024
LCM = 112956228
Thus, we can understand that the LCM of 374,578,476,594,329 is 112956228.
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FAQs on LCM of 374, 578, 476, 594, 329
1. What is the LCM of 374, 578, 476, 594, 329?
Answer: LCM of 374, 578, 476, 594, 329 is 112956228.
2. How to calculate the LCM of 374, 578, 476, 594, 329?
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 374, 578, 476, 594, 329.
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}.