LCM of 230, 154, 726, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 154, 726, 564 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 230, 154, 726, 564. So, keep reading to learn more.
Given numbers are 230,154,726,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,154,726,564 is 54936420.
Find LCM of 230,154,726,564 with Prime Factorization
| 2 | 230, 154, 726, 564 |
| 3 | 115, 77, 363, 282 |
| 11 | 115, 77, 121, 94 |
| 115, 7, 11, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 115 x 7 x 11 x 94 = 54936420
Therefore, the lowest common multiple of 230,154,726,564 is 54936420.
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.
230 x 154 x 726 x 564 = 14503214880
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
154 : 1, 2, 7, 11, 14, 22, 77, 154
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,154,726,564, is 2.
Now, the common factors can be found like this.
230:2x 5x 23
154:2x 7x 11
726:2x 3x 11x 11
564:2x 2x 3x 47
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 14503214880/(2x132)
LCM = 14503214880/264
LCM = 54936420
Thus, we can understand that the LCM of 230,154,726,564 is 54936420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 230, 154, 726, 564
1. What is the LCM of 230, 154, 726, 564?
Answer: LCM of 230, 154, 726, 564 is 54936420.
2. How to calculate the LCM of 230, 154, 726, 564?
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 230, 154, 726, 564.
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}.