LCM of 354, 588, 484, 892, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 354, 588, 484, 892, 444 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 354, 588, 484, 892, 444. So, keep reading to learn more.
Given numbers are 354,588,484,892,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,588,484,892,444 is 34635486732.
Find LCM of 354,588,484,892,444 with Prime Factorization
| 2 | 354, 588, 484, 892, 444 |
| 2 | 177, 294, 242, 446, 222 |
| 3 | 177, 147, 121, 223, 111 |
| 59, 49, 121, 223, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 49 x 121 x 223 x 37 = 34635486732
Therefore, the lowest common multiple of 354,588,484,892,444 is 34635486732.
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.
354 x 588 x 484 x 892 x 444 = 39900080715264
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.
354 : 1, 2, 3, 6, 59, 118, 177, 354
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
892 : 1, 2, 4, 223, 446, 892
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,588,484,892,444, is 2.
Now, the common factors can be found like this.
354:2x 3x 59
588:2x 2x 3x 7x 7
484:2x 2x 11x 11
892:2x 2x 223
444:2x 2x 3x 37
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 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 39900080715264/(2x576)
LCM = 39900080715264/1152
LCM = 34635486732
Thus, we can understand that the LCM of 354,588,484,892,444 is 34635486732.
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FAQs on LCM of 354, 588, 484, 892, 444
1. What is the LCM of 354, 588, 484, 892, 444?
Answer: LCM of 354, 588, 484, 892, 444 is 34635486732.
2. How to calculate the LCM of 354, 588, 484, 892, 444?
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 354, 588, 484, 892, 444.
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}.