LCM of 265, 804, 572, 335, 653
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 265, 804, 572, 335, 653 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 265, 804, 572, 335, 653. So, keep reading to learn more.
Given numbers are 265,804,572,335,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,804,572,335,653 is 19895329740.
Find LCM of 265,804,572,335,653 with Prime Factorization
| 2 | 265, 804, 572, 335, 653 |
| 2 | 265, 402, 286, 335, 653 |
| 5 | 265, 201, 143, 335, 653 |
| 67 | 53, 201, 143, 67, 653 |
| 53, 3, 143, 1, 653 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 67 x 53 x 3 x 143 x 1 x 653 = 19895329740
Therefore, the lowest common multiple of 265,804,572,335,653 is 19895329740.
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.
265 x 804 x 572 x 335 x 653 = 26659741851600
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.
265 : 1, 5, 53, 265
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
335 : 1, 5, 67, 335
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,804,572,335,653, is 1.
Now, the common factors can be found like this.
265:5x 53
804:2x 2x 3x 67
572:2x 2x 11x 13
335:5x 67
653:653
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 5x 67 = 1340
Therefore, the value for common factors is 1340.
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 = 26659741851600/(1x1340)
LCM = 26659741851600/1340
LCM = 19895329740
Thus, we can understand that the LCM of 265,804,572,335,653 is 19895329740.
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FAQs on LCM of 265, 804, 572, 335, 653
1. What is the LCM of 265, 804, 572, 335, 653?
Answer: LCM of 265, 804, 572, 335, 653 is 19895329740.
2. How to calculate the LCM of 265, 804, 572, 335, 653?
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 265, 804, 572, 335, 653.
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}.