LCM of 705, 684, 179, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 684, 179, 988 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 705, 684, 179, 988. So, keep reading to learn more.
Given numbers are 705,684,179,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,684,179,988 is 374041980.
Find LCM of 705,684,179,988 with Prime Factorization
| 2 | 705, 684, 179, 988 |
| 2 | 705, 342, 179, 494 |
| 3 | 705, 171, 179, 247 |
| 19 | 235, 57, 179, 247 |
| 235, 3, 179, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 235 x 3 x 179 x 13 = 374041980
Therefore, the lowest common multiple of 705,684,179,988 is 374041980.
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.
705 x 684 x 179 x 988 = 85281571440
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
179 : 1, 179
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,684,179,988, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
684:2x 2x 3x 3x 19
179:179
988:2x 2x 13x 19
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 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 85281571440/(1x228)
LCM = 85281571440/228
LCM = 374041980
Thus, we can understand that the LCM of 705,684,179,988 is 374041980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 705, 684, 179, 988
1. What is the LCM of 705, 684, 179, 988?
Answer: LCM of 705, 684, 179, 988 is 374041980.
2. How to calculate the LCM of 705, 684, 179, 988?
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 705, 684, 179, 988.
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}.