LCM of 113, 554, 132, 544, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 554, 132, 544, 594 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 113, 554, 132, 544, 594. So, keep reading to learn more.
Given numbers are 113,554,132,544,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,554,132,544,594 is 5057239968.
Find LCM of 113,554,132,544,594 with Prime Factorization
| 2 | 113, 554, 132, 544, 594 |
| 2 | 113, 277, 66, 272, 297 |
| 3 | 113, 277, 33, 136, 297 |
| 11 | 113, 277, 11, 136, 99 |
| 113, 277, 1, 136, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 113 x 277 x 1 x 136 x 9 = 5057239968
Therefore, the lowest common multiple of 113,554,132,544,594 is 5057239968.
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.
113 x 554 x 132 x 544 x 594 = 2670222703104
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.
113 : 1, 113
554 : 1, 2, 277, 554
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,554,132,544,594, is 1.
Now, the common factors can be found like this.
113:113
554:2x 277
132:2x 2x 3x 11
544:2x 2x 2x 2x 2x 17
594:2x 3x 3x 3x 11
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 11 = 528
Therefore, the value for common factors is 528.
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 = 2670222703104/(1x528)
LCM = 2670222703104/528
LCM = 5057239968
Thus, we can understand that the LCM of 113,554,132,544,594 is 5057239968.
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FAQs on LCM of 113, 554, 132, 544, 594
1. What is the LCM of 113, 554, 132, 544, 594?
Answer: LCM of 113, 554, 132, 544, 594 is 5057239968.
2. How to calculate the LCM of 113, 554, 132, 544, 594?
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 113, 554, 132, 544, 594.
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}.