LCM of 495, 902, 574, 948, 619
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 902, 574, 948, 619 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 495, 902, 574, 948, 619. So, keep reading to learn more.
Given numbers are 495,902,574,948,619
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,902,574,948,619 is 27788482260.
Find LCM of 495,902,574,948,619 with Prime Factorization
| 2 | 495, 902, 574, 948, 619 |
| 3 | 495, 451, 287, 474, 619 |
| 11 | 165, 451, 287, 158, 619 |
| 41 | 15, 41, 287, 158, 619 |
| 15, 1, 7, 158, 619 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 41 x 15 x 1 x 7 x 158 x 619 = 27788482260
Therefore, the lowest common multiple of 495,902,574,948,619 is 27788482260.
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.
495 x 902 x 574 x 948 x 619 = 150391265991120
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
902 : 1, 2, 11, 22, 41, 82, 451, 902
574 : 1, 2, 7, 14, 41, 82, 287, 574
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
619 : 1, 619
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,902,574,948,619, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
902:2x 11x 41
574:2x 7x 41
948:2x 2x 3x 79
619:619
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 11x 41 = 5412
Therefore, the value for common factors is 5412.
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 = 150391265991120/(1x5412)
LCM = 150391265991120/5412
LCM = 27788482260
Thus, we can understand that the LCM of 495,902,574,948,619 is 27788482260.
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FAQs on LCM of 495, 902, 574, 948, 619
1. What is the LCM of 495, 902, 574, 948, 619?
Answer: LCM of 495, 902, 574, 948, 619 is 27788482260.
2. How to calculate the LCM of 495, 902, 574, 948, 619?
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 495, 902, 574, 948, 619.
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}.