LCM of 140, 217, 961, 338, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 140, 217, 961, 338, 640 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, 217, 961, 338, 640. So, keep reading to learn more.
Given numbers are 140,217,961,338,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 140,217,961,338,640 is 727592320.
Find LCM of 140,217,961,338,640 with Prime Factorization
| 2 | 140, 217, 961, 338, 640 |
| 2 | 70, 217, 961, 169, 320 |
| 5 | 35, 217, 961, 169, 160 |
| 7 | 7, 217, 961, 169, 32 |
| 31 | 1, 31, 961, 169, 32 |
| 1, 1, 31, 169, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 31 x 1 x 1 x 31 x 169 x 32 = 727592320
Therefore, the lowest common multiple of 140,217,961,338,640 is 727592320.
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 217 x 961 x 338 x 640 = 6315501337600
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
217 : 1, 7, 31, 217
961 : 1, 31, 961
338 : 1, 2, 13, 26, 169, 338
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,217,961,338,640, is 1.
Now, the common factors can be found like this.
140:2x 2x 5x 7
217:7x 31
961:31x 31
338:2x 13x 13
640:2x 2x 2x 2x 2x 2x 2x 5
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 5x 7x 31 = 8680
Therefore, the value for common factors is 8680.
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 = 6315501337600/(1x8680)
LCM = 6315501337600/8680
LCM = 727592320
Thus, we can understand that the LCM of 140,217,961,338,640 is 727592320.
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FAQs on LCM of 140, 217, 961, 338, 640
1. What is the LCM of 140, 217, 961, 338, 640?
Answer: LCM of 140, 217, 961, 338, 640 is 727592320.
2. How to calculate the LCM of 140, 217, 961, 338, 640?
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, 217, 961, 338, 640.
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}.