LCM of 113, 348, 501, 904, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 348, 501, 904, 744 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, 348, 501, 904, 744. So, keep reading to learn more.
Given numbers are 113,348,501,904,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,348,501,904,744 is 407160696.
Find LCM of 113,348,501,904,744 with Prime Factorization
| 2 | 113, 348, 501, 904, 744 |
| 2 | 113, 174, 501, 452, 372 |
| 2 | 113, 87, 501, 226, 186 |
| 3 | 113, 87, 501, 113, 93 |
| 113 | 113, 29, 167, 113, 31 |
| 1, 29, 167, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 113 x 1 x 29 x 167 x 1 x 31 = 407160696
Therefore, the lowest common multiple of 113,348,501,904,744 is 407160696.
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 348 x 501 x 904 x 744 = 13250637690624
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
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
501 : 1, 3, 167, 501
904 : 1, 2, 4, 8, 113, 226, 452, 904
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,348,501,904,744, is 1.
Now, the common factors can be found like this.
113:113
348:2x 2x 3x 29
501:3x 167
904:2x 2x 2x 113
744:2x 2x 2x 3x 31
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 3x 3x 113 = 32544
Therefore, the value for common factors is 32544.
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 = 13250637690624/(1x32544)
LCM = 13250637690624/32544
LCM = 407160696
Thus, we can understand that the LCM of 113,348,501,904,744 is 407160696.
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FAQs on LCM of 113, 348, 501, 904, 744
1. What is the LCM of 113, 348, 501, 904, 744?
Answer: LCM of 113, 348, 501, 904, 744 is 407160696.
2. How to calculate the LCM of 113, 348, 501, 904, 744?
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, 348, 501, 904, 744.
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}.