LCM of 603, 782, 961, 690, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 603, 782, 961, 690, 488 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 603, 782, 961, 690, 488. So, keep reading to learn more.
Given numbers are 603,782,961,690,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 603,782,961,690,488 is 552849961320.
Find LCM of 603,782,961,690,488 with Prime Factorization
| 2 | 603, 782, 961, 690, 488 |
| 3 | 603, 391, 961, 345, 244 |
| 23 | 201, 391, 961, 115, 244 |
| 201, 17, 961, 5, 244 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 201 x 17 x 961 x 5 x 244 = 552849961320
Therefore, the lowest common multiple of 603,782,961,690,488 is 552849961320.
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.
603 x 782 x 961 x 690 x 488 = 152586589324320
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.
603 : 1, 3, 9, 67, 201, 603
782 : 1, 2, 17, 23, 34, 46, 391, 782
961 : 1, 31, 961
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
488 : 1, 2, 4, 8, 61, 122, 244, 488
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 603,782,961,690,488, is 1.
Now, the common factors can be found like this.
603:3x 3x 67
782:2x 17x 23
961:31x 31
690:2x 3x 5x 23
488:2x 2x 2x 61
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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 152586589324320/(1x276)
LCM = 152586589324320/276
LCM = 552849961320
Thus, we can understand that the LCM of 603,782,961,690,488 is 552849961320.
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FAQs on LCM of 603, 782, 961, 690, 488
1. What is the LCM of 603, 782, 961, 690, 488?
Answer: LCM of 603, 782, 961, 690, 488 is 552849961320.
2. How to calculate the LCM of 603, 782, 961, 690, 488?
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 603, 782, 961, 690, 488.
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}.