LCM of 534, 434, 968, 442, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 534, 434, 968, 442, 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 534, 434, 968, 442, 378. So, keep reading to learn more.
Given numbers are 534,434,968,442,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 534,434,968,442,378 is 111552969528.
Find LCM of 534,434,968,442,378 with Prime Factorization
| 2 | 534, 434, 968, 442, 378 |
| 3 | 267, 217, 484, 221, 189 |
| 7 | 89, 217, 484, 221, 63 |
| 89, 31, 484, 221, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 89 x 31 x 484 x 221 x 9 = 111552969528
Therefore, the lowest common multiple of 534,434,968,442,378 is 111552969528.
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.
534 x 434 x 968 x 442 x 378 = 37481797761408
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.
534 : 1, 2, 3, 6, 89, 178, 267, 534
434 : 1, 2, 7, 14, 31, 62, 217, 434
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
442 : 1, 2, 13, 17, 26, 34, 221, 442
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 534,434,968,442,378, is 2.
Now, the common factors can be found like this.
534:2x 3x 89
434:2x 7x 31
968:2x 2x 2x 11x 11
442:2x 13x 17
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 7 = 168
Therefore, the value for common factors is 168.
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 = 37481797761408/(2x168)
LCM = 37481797761408/336
LCM = 111552969528
Thus, we can understand that the LCM of 534,434,968,442,378 is 111552969528.
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FAQs on LCM of 534, 434, 968, 442, 378
1. What is the LCM of 534, 434, 968, 442, 378?
Answer: LCM of 534, 434, 968, 442, 378 is 111552969528.
2. How to calculate the LCM of 534, 434, 968, 442, 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 534, 434, 968, 442, 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}.