LCM of 846, 154, 260, 378, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 846, 154, 260, 378, 523 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 846, 154, 260, 378, 523. So, keep reading to learn more.
Given numbers are 846,154,260,378,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,154,260,378,523 is 13287013740.
Find LCM of 846,154,260,378,523 with Prime Factorization
| 2 | 846, 154, 260, 378, 523 |
| 3 | 423, 77, 130, 189, 523 |
| 3 | 141, 77, 130, 63, 523 |
| 7 | 47, 77, 130, 21, 523 |
| 47, 11, 130, 3, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 47 x 11 x 130 x 3 x 523 = 13287013740
Therefore, the lowest common multiple of 846,154,260,378,523 is 13287013740.
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.
846 x 154 x 260 x 378 x 523 = 6696654924960
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
154 : 1, 2, 7, 11, 14, 22, 77, 154
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,154,260,378,523, is 1.
Now, the common factors can be found like this.
846:2x 3x 3x 47
154:2x 7x 11
260:2x 2x 5x 13
378:2x 3x 3x 3x 7
523:523
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 = 6696654924960/(1x504)
LCM = 6696654924960/504
LCM = 13287013740
Thus, we can understand that the LCM of 846,154,260,378,523 is 13287013740.
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FAQs on LCM of 846, 154, 260, 378, 523
1. What is the LCM of 846, 154, 260, 378, 523?
Answer: LCM of 846, 154, 260, 378, 523 is 13287013740.
2. How to calculate the LCM of 846, 154, 260, 378, 523?
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 846, 154, 260, 378, 523.
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}.