LCM of 730, 593, 626, 154, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 593, 626, 154, 210 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 730, 593, 626, 154, 210. So, keep reading to learn more.
Given numbers are 730,593,626,154,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,593,626,154,210 is 31299245670.
Find LCM of 730,593,626,154,210 with Prime Factorization
| 2 | 730, 593, 626, 154, 210 |
| 5 | 365, 593, 313, 77, 105 |
| 7 | 73, 593, 313, 77, 21 |
| 73, 593, 313, 11, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 73 x 593 x 313 x 11 x 3 = 31299245670
Therefore, the lowest common multiple of 730,593,626,154,210 is 31299245670.
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.
730 x 593 x 626 x 154 x 210 = 8763788787600
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
593 : 1, 593
626 : 1, 2, 313, 626
154 : 1, 2, 7, 11, 14, 22, 77, 154
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,593,626,154,210, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
593:593
626:2x 313
154:2x 7x 11
210:2x 3x 5x 7
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 8763788787600/(1x280)
LCM = 8763788787600/280
LCM = 31299245670
Thus, we can understand that the LCM of 730,593,626,154,210 is 31299245670.
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FAQs on LCM of 730, 593, 626, 154, 210
1. What is the LCM of 730, 593, 626, 154, 210?
Answer: LCM of 730, 593, 626, 154, 210 is 31299245670.
2. How to calculate the LCM of 730, 593, 626, 154, 210?
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 730, 593, 626, 154, 210.
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}.