LCM of 702, 546, 599, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 546, 599, 189 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 702, 546, 599, 189. So, keep reading to learn more.
Given numbers are 702,546,599,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,546,599,189 is 2943486.
Find LCM of 702,546,599,189 with Prime Factorization
| 2 | 702, 546, 599, 189 |
| 3 | 351, 273, 599, 189 |
| 3 | 117, 91, 599, 63 |
| 3 | 39, 91, 599, 21 |
| 7 | 13, 91, 599, 7 |
| 13 | 13, 13, 599, 1 |
| 1, 1, 599, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 13 x 1 x 1 x 599 x 1 = 2943486
Therefore, the lowest common multiple of 702,546,599,189 is 2943486.
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.
702 x 546 x 599 x 189 = 43392870612
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
599 : 1, 599
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,546,599,189, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
546:2x 3x 7x 13
599:599
189:3x 3x 3x 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 3x 3x 3x 3x 7x 13 = 14742
Therefore, the value for common factors is 14742.
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 = 43392870612/(1x14742)
LCM = 43392870612/14742
LCM = 2943486
Thus, we can understand that the LCM of 702,546,599,189 is 2943486.
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FAQs on LCM of 702, 546, 599, 189
1. What is the LCM of 702, 546, 599, 189?
Answer: LCM of 702, 546, 599, 189 is 2943486.
2. How to calculate the LCM of 702, 546, 599, 189?
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 702, 546, 599, 189.
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}.