LCM of 248, 118, 156, 104, 472
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 248, 118, 156, 104, 472 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 248, 118, 156, 104, 472. So, keep reading to learn more.
Given numbers are 248,118,156,104,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,118,156,104,472 is 570648.
Find LCM of 248,118,156,104,472 with Prime Factorization
| 2 | 248, 118, 156, 104, 472 |
| 2 | 124, 59, 78, 52, 236 |
| 2 | 62, 59, 39, 26, 118 |
| 13 | 31, 59, 39, 13, 59 |
| 59 | 31, 59, 3, 1, 59 |
| 31, 1, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 59 x 31 x 1 x 3 x 1 x 1 = 570648
Therefore, the lowest common multiple of 248,118,156,104,472 is 570648.
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.
248 x 118 x 156 x 104 x 472 = 224095752192
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
118 : 1, 2, 59, 118
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
104 : 1, 2, 4, 8, 13, 26, 52, 104
472 : 1, 2, 4, 8, 59, 118, 236, 472
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,118,156,104,472, is 2.
Now, the common factors can be found like this.
248:2x 2x 2x 31
118:2x 59
156:2x 2x 3x 13
104:2x 2x 2x 13
472:2x 2x 2x 59
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 2x 2x 13x 59 = 196352
Therefore, the value for common factors is 196352.
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 = 224095752192/(2x196352)
LCM = 224095752192/392704
LCM = 570648
Thus, we can understand that the LCM of 248,118,156,104,472 is 570648.
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FAQs on LCM of 248, 118, 156, 104, 472
1. What is the LCM of 248, 118, 156, 104, 472?
Answer: LCM of 248, 118, 156, 104, 472 is 570648.
2. How to calculate the LCM of 248, 118, 156, 104, 472?
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 248, 118, 156, 104, 472.
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}.