LCM of 292, 191, 544, 724, 343
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 191, 544, 724, 343 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 292, 191, 544, 724, 343. So, keep reading to learn more.
Given numbers are 292,191,544,724,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,191,544,724,343 is 470899058336.
Find LCM of 292,191,544,724,343 with Prime Factorization
| 2 | 292, 191, 544, 724, 343 |
| 2 | 146, 191, 272, 362, 343 |
| 73, 191, 136, 181, 343 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 73 x 191 x 136 x 181 x 343 = 470899058336
Therefore, the lowest common multiple of 292,191,544,724,343 is 470899058336.
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.
292 x 191 x 544 x 724 x 343 = 7534384933376
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.
292 : 1, 2, 4, 73, 146, 292
191 : 1, 191
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
724 : 1, 2, 4, 181, 362, 724
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,191,544,724,343, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
191:191
544:2x 2x 2x 2x 2x 17
724:2x 2x 181
343:7x 7x 7
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 2 = 16
Therefore, the value for common factors is 16.
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 = 7534384933376/(1x16)
LCM = 7534384933376/16
LCM = 470899058336
Thus, we can understand that the LCM of 292,191,544,724,343 is 470899058336.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 292, 191, 544, 724, 343
1. What is the LCM of 292, 191, 544, 724, 343?
Answer: LCM of 292, 191, 544, 724, 343 is 470899058336.
2. How to calculate the LCM of 292, 191, 544, 724, 343?
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 292, 191, 544, 724, 343.
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}.