LCM of 423, 894, 396, 526, 764
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 423, 894, 396, 526, 764 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 423, 894, 396, 526, 764. So, keep reading to learn more.
Given numbers are 423,894,396,526,764
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 423,894,396,526,764 is 139305552804.
Find LCM of 423,894,396,526,764 with Prime Factorization
| 2 | 423, 894, 396, 526, 764 |
| 2 | 423, 447, 198, 263, 382 |
| 3 | 423, 447, 99, 263, 191 |
| 3 | 141, 149, 33, 263, 191 |
| 47, 149, 11, 263, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 47 x 149 x 11 x 263 x 191 = 139305552804
Therefore, the lowest common multiple of 423,894,396,526,764 is 139305552804.
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.
423 x 894 x 396 x 526 x 764 = 60179998811328
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.
423 : 1, 3, 9, 47, 141, 423
894 : 1, 2, 3, 6, 149, 298, 447, 894
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
526 : 1, 2, 263, 526
764 : 1, 2, 4, 191, 382, 764
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,894,396,526,764, is 1.
Now, the common factors can be found like this.
423:3x 3x 47
894:2x 3x 149
396:2x 2x 3x 3x 11
526:2x 263
764:2x 2x 191
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 60179998811328/(1x432)
LCM = 60179998811328/432
LCM = 139305552804
Thus, we can understand that the LCM of 423,894,396,526,764 is 139305552804.
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FAQs on LCM of 423, 894, 396, 526, 764
1. What is the LCM of 423, 894, 396, 526, 764?
Answer: LCM of 423, 894, 396, 526, 764 is 139305552804.
2. How to calculate the LCM of 423, 894, 396, 526, 764?
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 423, 894, 396, 526, 764.
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}.