LCM of 599, 663, 702, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 663, 702, 354 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 599, 663, 702, 354. So, keep reading to learn more.
Given numbers are 599,663,702,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,663,702,354 is 421759494.
Find LCM of 599,663,702,354 with Prime Factorization
| 2 | 599, 663, 702, 354 |
| 3 | 599, 663, 351, 177 |
| 13 | 599, 221, 117, 59 |
| 599, 17, 9, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 599 x 17 x 9 x 59 = 421759494
Therefore, the lowest common multiple of 599,663,702,354 is 421759494.
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.
599 x 663 x 702 x 354 = 98691721596
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.
599 : 1, 599
663 : 1, 3, 13, 17, 39, 51, 221, 663
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,663,702,354, is 1.
Now, the common factors can be found like this.
599:599
663:3x 13x 17
702:2x 3x 3x 3x 13
354:2x 3x 59
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 13 = 234
Therefore, the value for common factors is 234.
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 = 98691721596/(1x234)
LCM = 98691721596/234
LCM = 421759494
Thus, we can understand that the LCM of 599,663,702,354 is 421759494.
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FAQs on LCM of 599, 663, 702, 354
1. What is the LCM of 599, 663, 702, 354?
Answer: LCM of 599, 663, 702, 354 is 421759494.
2. How to calculate the LCM of 599, 663, 702, 354?
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 599, 663, 702, 354.
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}.