LCM of 756, 852, 601, 749, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 756, 852, 601, 749, 980 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 756, 852, 601, 749, 980. So, keep reading to learn more.
Given numbers are 756,852,601,749,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 756,852,601,749,980 is 120810988620.
Find LCM of 756,852,601,749,980 with Prime Factorization
| 2 | 756, 852, 601, 749, 980 |
| 2 | 378, 426, 601, 749, 490 |
| 3 | 189, 213, 601, 749, 245 |
| 7 | 63, 71, 601, 749, 245 |
| 9, 71, 601, 107, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 9 x 71 x 601 x 107 x 35 = 120810988620
Therefore, the lowest common multiple of 756,852,601,749,980 is 120810988620.
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.
756 x 852 x 601 x 749 x 980 = 284147445234240
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.
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
601 : 1, 601
749 : 1, 7, 107, 749
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,852,601,749,980, is 1.
Now, the common factors can be found like this.
756:2x 2x 3x 3x 3x 7
852:2x 2x 3x 71
601:601
749:7x 107
980:2x 2x 5x 7x 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 3x 7x 7 = 2352
Therefore, the value for common factors is 2352.
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 = 284147445234240/(1x2352)
LCM = 284147445234240/2352
LCM = 120810988620
Thus, we can understand that the LCM of 756,852,601,749,980 is 120810988620.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 756, 852, 601, 749, 980
1. What is the LCM of 756, 852, 601, 749, 980?
Answer: LCM of 756, 852, 601, 749, 980 is 120810988620.
2. How to calculate the LCM of 756, 852, 601, 749, 980?
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 756, 852, 601, 749, 980.
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}.