LCM of 578, 774, 748, 322, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 774, 748, 322, 378 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 578, 774, 748, 322, 378. So, keep reading to learn more.
Given numbers are 578,774,748,322,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,774,748,322,378 is 2376887436.
Find LCM of 578,774,748,322,378 with Prime Factorization
| 2 | 578, 774, 748, 322, 378 |
| 3 | 289, 387, 374, 161, 189 |
| 3 | 289, 129, 374, 161, 63 |
| 7 | 289, 43, 374, 161, 21 |
| 17 | 289, 43, 374, 23, 3 |
| 17, 43, 22, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 17 x 17 x 43 x 22 x 23 x 3 = 2376887436
Therefore, the lowest common multiple of 578,774,748,322,378 is 2376887436.
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.
578 x 774 x 748 x 322 x 378 = 40730343103296
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.
578 : 1, 2, 17, 34, 289, 578
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
322 : 1, 2, 7, 14, 23, 46, 161, 322
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,774,748,322,378, is 2.
Now, the common factors can be found like this.
578:2x 17x 17
774:2x 3x 3x 43
748:2x 2x 11x 17
322:2x 7x 23
378:2x 3x 3x 3x 7
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 3x 3x 7x 17 = 8568
Therefore, the value for common factors is 8568.
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 = 40730343103296/(2x8568)
LCM = 40730343103296/17136
LCM = 2376887436
Thus, we can understand that the LCM of 578,774,748,322,378 is 2376887436.
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FAQs on LCM of 578, 774, 748, 322, 378
1. What is the LCM of 578, 774, 748, 322, 378?
Answer: LCM of 578, 774, 748, 322, 378 is 2376887436.
2. How to calculate the LCM of 578, 774, 748, 322, 378?
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 578, 774, 748, 322, 378.
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}.