LCM of 813, 242, 378, 420, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 813, 242, 378, 420, 746 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 813, 242, 378, 420, 746. So, keep reading to learn more.
Given numbers are 813,242,378,420,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 813,242,378,420,746 is 46233342540.
Find LCM of 813,242,378,420,746 with Prime Factorization
| 2 | 813, 242, 378, 420, 746 |
| 3 | 813, 121, 189, 210, 373 |
| 7 | 271, 121, 63, 70, 373 |
| 271, 121, 9, 10, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 271 x 121 x 9 x 10 x 373 = 46233342540
Therefore, the lowest common multiple of 813,242,378,420,746 is 46233342540.
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.
813 x 242 x 378 x 420 x 746 = 23301604640160
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.
813 : 1, 3, 271, 813
242 : 1, 2, 11, 22, 121, 242
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,242,378,420,746, is 1.
Now, the common factors can be found like this.
813:3x 271
242:2x 11x 11
378:2x 3x 3x 3x 7
420:2x 2x 3x 5x 7
746:2x 373
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 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 23301604640160/(1x504)
LCM = 23301604640160/504
LCM = 46233342540
Thus, we can understand that the LCM of 813,242,378,420,746 is 46233342540.
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FAQs on LCM of 813, 242, 378, 420, 746
1. What is the LCM of 813, 242, 378, 420, 746?
Answer: LCM of 813, 242, 378, 420, 746 is 46233342540.
2. How to calculate the LCM of 813, 242, 378, 420, 746?
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 813, 242, 378, 420, 746.
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}.