LCM of 140, 321, 658, 363, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 321, 658, 363, 704 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 140, 321, 658, 363, 704. So, keep reading to learn more.
Given numbers are 140,321,658,363,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,321,658,363,704 is 4089180480.
Find LCM of 140,321,658,363,704 with Prime Factorization
| 2 | 140, 321, 658, 363, 704 |
| 2 | 70, 321, 329, 363, 352 |
| 3 | 35, 321, 329, 363, 176 |
| 7 | 35, 107, 329, 121, 176 |
| 11 | 5, 107, 47, 121, 176 |
| 5, 107, 47, 11, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 5 x 107 x 47 x 11 x 16 = 4089180480
Therefore, the lowest common multiple of 140,321,658,363,704 is 4089180480.
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.
140 x 321 x 658 x 363 x 704 = 7556805527040
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.
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
321 : 1, 3, 107, 321
658 : 1, 2, 7, 14, 47, 94, 329, 658
363 : 1, 3, 11, 33, 121, 363
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,321,658,363,704, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
321:3x 107
658:2x 7x 47
363:3x 11x 11
704:2x 2x 2x 2x 2x 2x 11
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 3x 7x 11 = 1848
Therefore, the value for common factors is 1848.
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 = 7556805527040/(1x1848)
LCM = 7556805527040/1848
LCM = 4089180480
Thus, we can understand that the LCM of 140,321,658,363,704 is 4089180480.
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FAQs on LCM of 140, 321, 658, 363, 704
1. What is the LCM of 140, 321, 658, 363, 704?
Answer: LCM of 140, 321, 658, 363, 704 is 4089180480.
2. How to calculate the LCM of 140, 321, 658, 363, 704?
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 140, 321, 658, 363, 704.
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}.