LCM of 980, 695, 556, 956, 553
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 695, 556, 956, 553 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, 695, 556, 956, 553. So, keep reading to learn more.
Given numbers are 980,695,556,956,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,695,556,956,553 is 2571969820.
Find LCM of 980,695,556,956,553 with Prime Factorization
| 2 | 980, 695, 556, 956, 553 |
| 2 | 490, 695, 278, 478, 553 |
| 5 | 245, 695, 139, 239, 553 |
| 7 | 49, 139, 139, 239, 553 |
| 139 | 7, 139, 139, 239, 79 |
| 7, 1, 1, 239, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 139 x 7 x 1 x 1 x 239 x 79 = 2571969820
Therefore, the lowest common multiple of 980,695,556,956,553 is 2571969820.
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 695 x 556 x 956 x 553 = 200202130788800
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
695 : 1, 5, 139, 695
556 : 1, 2, 4, 139, 278, 556
956 : 1, 2, 4, 239, 478, 956
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,695,556,956,553, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
695:5x 139
556:2x 2x 139
956:2x 2x 239
553:7x 79
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 5x 7x 139 = 77840
Therefore, the value for common factors is 77840.
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 = 200202130788800/(1x77840)
LCM = 200202130788800/77840
LCM = 2571969820
Thus, we can understand that the LCM of 980,695,556,956,553 is 2571969820.
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FAQs on LCM of 980, 695, 556, 956, 553
1. What is the LCM of 980, 695, 556, 956, 553?
Answer: LCM of 980, 695, 556, 956, 553 is 2571969820.
2. How to calculate the LCM of 980, 695, 556, 956, 553?
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, 695, 556, 956, 553.
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}.