LCM of 467, 177, 186, 461, 747
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 177, 186, 461, 747 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 467, 177, 186, 461, 747. So, keep reading to learn more.
Given numbers are 467,177,186,461,747
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,177,186,461,747 is 588277324962.
Find LCM of 467,177,186,461,747 with Prime Factorization
| 3 | 467, 177, 186, 461, 747 |
| 467, 59, 62, 461, 249 |
Multiply the prime numbers at the bottom and the left side.
3 x 467 x 59 x 62 x 461 x 249 = 588277324962
Therefore, the lowest common multiple of 467,177,186,461,747 is 588277324962.
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.
467 x 177 x 186 x 461 x 747 = 5294495924658
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.
467 : 1, 467
177 : 1, 3, 59, 177
186 : 1, 2, 3, 6, 31, 62, 93, 186
461 : 1, 461
747 : 1, 3, 9, 83, 249, 747
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,177,186,461,747, is 1.
Now, the common factors can be found like this.
467:467
177:3x 59
186:2x 3x 31
461:461
747:3x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 5294495924658/(1x9)
LCM = 5294495924658/9
LCM = 588277324962
Thus, we can understand that the LCM of 467,177,186,461,747 is 588277324962.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 467, 177, 186, 461, 747
1. What is the LCM of 467, 177, 186, 461, 747?
Answer: LCM of 467, 177, 186, 461, 747 is 588277324962.
2. How to calculate the LCM of 467, 177, 186, 461, 747?
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 467, 177, 186, 461, 747.
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}.