LCM of 292, 782, 532, 898, 553
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 782, 532, 898, 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 292, 782, 532, 898, 553. So, keep reading to learn more.
Given numbers are 292,782,532,898,553
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,782,532,898,553 is 538622736596.
Find LCM of 292,782,532,898,553 with Prime Factorization
| 2 | 292, 782, 532, 898, 553 |
| 2 | 146, 391, 266, 449, 553 |
| 7 | 73, 391, 133, 449, 553 |
| 73, 391, 19, 449, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 73 x 391 x 19 x 449 x 79 = 538622736596
Therefore, the lowest common multiple of 292,782,532,898,553 is 538622736596.
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.
292 x 782 x 532 x 898 x 553 = 60325746498752
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.
292 : 1, 2, 4, 73, 146, 292
782 : 1, 2, 17, 23, 34, 46, 391, 782
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
898 : 1, 2, 449, 898
553 : 1, 7, 79, 553
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,782,532,898,553, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
782:2x 17x 23
532:2x 2x 7x 19
898:2x 449
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 7 = 112
Therefore, the value for common factors is 112.
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 = 60325746498752/(1x112)
LCM = 60325746498752/112
LCM = 538622736596
Thus, we can understand that the LCM of 292,782,532,898,553 is 538622736596.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 292, 782, 532, 898, 553
1. What is the LCM of 292, 782, 532, 898, 553?
Answer: LCM of 292, 782, 532, 898, 553 is 538622736596.
2. How to calculate the LCM of 292, 782, 532, 898, 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 292, 782, 532, 898, 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}.