LCM of 594, 924, 976, 786, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 594, 924, 976, 786, 542 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 594, 924, 976, 786, 542. So, keep reading to learn more.
Given numbers are 594,924,976,786,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,924,976,786,542 is 72035221104.
Find LCM of 594,924,976,786,542 with Prime Factorization
| 2 | 594, 924, 976, 786, 542 |
| 2 | 297, 462, 488, 393, 271 |
| 3 | 297, 231, 244, 393, 271 |
| 11 | 99, 77, 244, 131, 271 |
| 9, 7, 244, 131, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 9 x 7 x 244 x 131 x 271 = 72035221104
Therefore, the lowest common multiple of 594,924,976,786,542 is 72035221104.
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.
594 x 924 x 976 x 786 x 542 = 228207580457472
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.
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
786 : 1, 2, 3, 6, 131, 262, 393, 786
542 : 1, 2, 271, 542
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,924,976,786,542, is 2.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
924:2x 2x 3x 7x 11
976:2x 2x 2x 2x 61
786:2x 3x 131
542:2x 271
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 3x 3x 11 = 1584
Therefore, the value for common factors is 1584.
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 = 228207580457472/(2x1584)
LCM = 228207580457472/3168
LCM = 72035221104
Thus, we can understand that the LCM of 594,924,976,786,542 is 72035221104.
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FAQs on LCM of 594, 924, 976, 786, 542
1. What is the LCM of 594, 924, 976, 786, 542?
Answer: LCM of 594, 924, 976, 786, 542 is 72035221104.
2. How to calculate the LCM of 594, 924, 976, 786, 542?
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 594, 924, 976, 786, 542.
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}.