LCM of 760, 640, 901, 328, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 760, 640, 901, 328, 140 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 760, 640, 901, 328, 140. So, keep reading to learn more.
Given numbers are 760,640,901,328,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,640,901,328,140 is 3144417920.
Find LCM of 760,640,901,328,140 with Prime Factorization
| 2 | 760, 640, 901, 328, 140 |
| 2 | 380, 320, 901, 164, 70 |
| 2 | 190, 160, 901, 82, 35 |
| 5 | 95, 80, 901, 41, 35 |
| 19, 16, 901, 41, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 16 x 901 x 41 x 7 = 3144417920
Therefore, the lowest common multiple of 760,640,901,328,140 is 3144417920.
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.
760 x 640 x 901 x 328 x 140 = 20124274688000
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
901 : 1, 17, 53, 901
328 : 1, 2, 4, 8, 41, 82, 164, 328
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,640,901,328,140, is 1.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
640:2x 2x 2x 2x 2x 2x 2x 5
901:17x 53
328:2x 2x 2x 41
140:2x 2x 5x 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 2x 2x 2x 2x 2x 2x 2x 5x 5 = 6400
Therefore, the value for common factors is 6400.
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 = 20124274688000/(1x6400)
LCM = 20124274688000/6400
LCM = 3144417920
Thus, we can understand that the LCM of 760,640,901,328,140 is 3144417920.
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FAQs on LCM of 760, 640, 901, 328, 140
1. What is the LCM of 760, 640, 901, 328, 140?
Answer: LCM of 760, 640, 901, 328, 140 is 3144417920.
2. How to calculate the LCM of 760, 640, 901, 328, 140?
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 760, 640, 901, 328, 140.
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}.