LCM of 556, 248, 506, 292, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 248, 506, 292, 368 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 556, 248, 506, 292, 368. So, keep reading to learn more.
Given numbers are 556,248,506,292,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,248,506,292,368 is 1273326736.
Find LCM of 556,248,506,292,368 with Prime Factorization
| 2 | 556, 248, 506, 292, 368 |
| 2 | 278, 124, 253, 146, 184 |
| 2 | 139, 62, 253, 73, 92 |
| 23 | 139, 31, 253, 73, 46 |
| 139, 31, 11, 73, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 139 x 31 x 11 x 73 x 2 = 1273326736
Therefore, the lowest common multiple of 556,248,506,292,368 is 1273326736.
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.
556 x 248 x 506 x 292 x 368 = 7497347821568
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.
556 : 1, 2, 4, 139, 278, 556
248 : 1, 2, 4, 8, 31, 62, 124, 248
506 : 1, 2, 11, 22, 23, 46, 253, 506
292 : 1, 2, 4, 73, 146, 292
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,248,506,292,368, is 2.
Now, the common factors can be found like this.
556:2x 2x 139
248:2x 2x 2x 31
506:2x 11x 23
292:2x 2x 73
368:2x 2x 2x 2x 23
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 23 = 2944
Therefore, the value for common factors is 2944.
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 = 7497347821568/(2x2944)
LCM = 7497347821568/5888
LCM = 1273326736
Thus, we can understand that the LCM of 556,248,506,292,368 is 1273326736.
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FAQs on LCM of 556, 248, 506, 292, 368
1. What is the LCM of 556, 248, 506, 292, 368?
Answer: LCM of 556, 248, 506, 292, 368 is 1273326736.
2. How to calculate the LCM of 556, 248, 506, 292, 368?
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 556, 248, 506, 292, 368.
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}.