LCM of 186, 804, 948, 762, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 186, 804, 948, 762, 711 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 186, 804, 948, 762, 711. So, keep reading to learn more.
Given numbers are 186,804,948,762,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 186,804,948,762,711 is 750187476.
Find LCM of 186,804,948,762,711 with Prime Factorization
| 2 | 186, 804, 948, 762, 711 |
| 2 | 93, 402, 474, 381, 711 |
| 3 | 93, 201, 237, 381, 711 |
| 79 | 31, 67, 79, 127, 237 |
| 31, 67, 1, 127, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 79 x 31 x 67 x 1 x 127 x 3 = 750187476
Therefore, the lowest common multiple of 186,804,948,762,711 is 750187476.
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.
186 x 804 x 948 x 762 x 711 = 76807194542784
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.
186 : 1, 2, 3, 6, 31, 62, 93, 186
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
762 : 1, 2, 3, 6, 127, 254, 381, 762
711 : 1, 3, 9, 79, 237, 711
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,804,948,762,711, is 3.
Now, the common factors can be found like this.
186:2x 3x 31
804:2x 2x 3x 67
948:2x 2x 3x 79
762:2x 3x 127
711:3x 3x 79
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 3x 3x 3x 79 = 34128
Therefore, the value for common factors is 34128.
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 = 76807194542784/(3x34128)
LCM = 76807194542784/102384
LCM = 750187476
Thus, we can understand that the LCM of 186,804,948,762,711 is 750187476.
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FAQs on LCM of 186, 804, 948, 762, 711
1. What is the LCM of 186, 804, 948, 762, 711?
Answer: LCM of 186, 804, 948, 762, 711 is 750187476.
2. How to calculate the LCM of 186, 804, 948, 762, 711?
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 186, 804, 948, 762, 711.
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}.