LCM of 602, 715, 923, 352, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 602, 715, 923, 352, 668 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 602, 715, 923, 352, 668. So, keep reading to learn more.
Given numbers are 602,715,923,352,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,715,923,352,668 is 81657736160.
Find LCM of 602,715,923,352,668 with Prime Factorization
| 2 | 602, 715, 923, 352, 668 |
| 2 | 301, 715, 923, 176, 334 |
| 11 | 301, 715, 923, 88, 167 |
| 13 | 301, 65, 923, 8, 167 |
| 301, 5, 71, 8, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 301 x 5 x 71 x 8 x 167 = 81657736160
Therefore, the lowest common multiple of 602,715,923,352,668 is 81657736160.
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.
602 x 715 x 923 x 352 x 668 = 93416450167040
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.
602 : 1, 2, 7, 14, 43, 86, 301, 602
715 : 1, 5, 11, 13, 55, 65, 143, 715
923 : 1, 13, 71, 923
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,715,923,352,668, is 1.
Now, the common factors can be found like this.
602:2x 7x 43
715:5x 11x 13
923:13x 71
352:2x 2x 2x 2x 2x 11
668:2x 2x 167
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 11x 13 = 1144
Therefore, the value for common factors is 1144.
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 = 93416450167040/(1x1144)
LCM = 93416450167040/1144
LCM = 81657736160
Thus, we can understand that the LCM of 602,715,923,352,668 is 81657736160.
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FAQs on LCM of 602, 715, 923, 352, 668
1. What is the LCM of 602, 715, 923, 352, 668?
Answer: LCM of 602, 715, 923, 352, 668 is 81657736160.
2. How to calculate the LCM of 602, 715, 923, 352, 668?
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 602, 715, 923, 352, 668.
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}.