LCM of 980, 656, 640, 959, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 656, 640, 959, 542 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 980, 656, 640, 959, 542. So, keep reading to learn more.
Given numbers are 980,656,640,959,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,656,640,959,542 is 47736411520.
Find LCM of 980,656,640,959,542 with Prime Factorization
| 2 | 980, 656, 640, 959, 542 |
| 2 | 490, 328, 320, 959, 271 |
| 2 | 245, 164, 160, 959, 271 |
| 2 | 245, 82, 80, 959, 271 |
| 5 | 245, 41, 40, 959, 271 |
| 7 | 49, 41, 8, 959, 271 |
| 7, 41, 8, 137, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 7 x 7 x 41 x 8 x 137 x 271 = 47736411520
Therefore, the lowest common multiple of 980,656,640,959,542 is 47736411520.
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.
980 x 656 x 640 x 959 x 542 = 213859123609600
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
959 : 1, 7, 137, 959
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,656,640,959,542, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
656:2x 2x 2x 2x 41
640:2x 2x 2x 2x 2x 2x 2x 5
959:7x 137
542:2x 271
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 5x 7 = 4480
Therefore, the value for common factors is 4480.
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 = 213859123609600/(1x4480)
LCM = 213859123609600/4480
LCM = 47736411520
Thus, we can understand that the LCM of 980,656,640,959,542 is 47736411520.
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FAQs on LCM of 980, 656, 640, 959, 542
1. What is the LCM of 980, 656, 640, 959, 542?
Answer: LCM of 980, 656, 640, 959, 542 is 47736411520.
2. How to calculate the LCM of 980, 656, 640, 959, 542?
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 980, 656, 640, 959, 542.
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}.