LCM of 543, 690, 670, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 543, 690, 670, 688 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 543, 690, 670, 688. So, keep reading to learn more.
Given numbers are 543,690,670,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 543,690,670,688 is 2878464720.
Find LCM of 543,690,670,688 with Prime Factorization
| 2 | 543, 690, 670, 688 |
| 3 | 543, 345, 335, 344 |
| 5 | 181, 115, 335, 344 |
| 181, 23, 67, 344 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 181 x 23 x 67 x 344 = 2878464720
Therefore, the lowest common multiple of 543,690,670,688 is 2878464720.
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.
543 x 690 x 670 x 688 = 172707883200
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.
543 : 1, 3, 181, 543
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
670 : 1, 2, 5, 10, 67, 134, 335, 670
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,690,670,688, is 1.
Now, the common factors can be found like this.
543:3x 181
690:2x 3x 5x 23
670:2x 5x 67
688:2x 2x 2x 2x 43
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 5 = 60
Therefore, the value for common factors is 60.
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 = 172707883200/(1x60)
LCM = 172707883200/60
LCM = 2878464720
Thus, we can understand that the LCM of 543,690,670,688 is 2878464720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 543, 690, 670, 688
1. What is the LCM of 543, 690, 670, 688?
Answer: LCM of 543, 690, 670, 688 is 2878464720.
2. How to calculate the LCM of 543, 690, 670, 688?
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 543, 690, 670, 688.
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}.