LCM of 230, 730, 276, 847, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 730, 276, 847, 572 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, 730, 276, 847, 572. So, keep reading to learn more.
Given numbers are 230,730,276,847,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,730,276,847,572 is 1109248140.
Find LCM of 230,730,276,847,572 with Prime Factorization
| 2 | 230, 730, 276, 847, 572 |
| 2 | 115, 365, 138, 847, 286 |
| 5 | 115, 365, 69, 847, 143 |
| 11 | 23, 73, 69, 847, 143 |
| 23 | 23, 73, 69, 77, 13 |
| 1, 73, 3, 77, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 23 x 1 x 73 x 3 x 77 x 13 = 1109248140
Therefore, the lowest common multiple of 230,730,276,847,572 is 1109248140.
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 730 x 276 x 847 x 572 = 22451182353600
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
730 : 1, 2, 5, 10, 73, 146, 365, 730
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
847 : 1, 7, 11, 77, 121, 847
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,730,276,847,572, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
730:2x 5x 73
276:2x 2x 3x 23
847:7x 11x 11
572:2x 2x 11x 13
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 5x 11x 23 = 20240
Therefore, the value for common factors is 20240.
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 = 22451182353600/(1x20240)
LCM = 22451182353600/20240
LCM = 1109248140
Thus, we can understand that the LCM of 230,730,276,847,572 is 1109248140.
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FAQs on LCM of 230, 730, 276, 847, 572
1. What is the LCM of 230, 730, 276, 847, 572?
Answer: LCM of 230, 730, 276, 847, 572 is 1109248140.
2. How to calculate the LCM of 230, 730, 276, 847, 572?
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, 730, 276, 847, 572.
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}.