LCM of 730, 714, 493, 106
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 714, 493, 106 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, 714, 493, 106. So, keep reading to learn more.
Given numbers are 730,714,493,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,714,493,106 is 400557570.
Find LCM of 730,714,493,106 with Prime Factorization
| 2 | 730, 714, 493, 106 |
| 17 | 365, 357, 493, 53 |
| 365, 21, 29, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 365 x 21 x 29 x 53 = 400557570
Therefore, the lowest common multiple of 730,714,493,106 is 400557570.
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 714 x 493 x 106 = 27237914760
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
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
493 : 1, 17, 29, 493
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,714,493,106, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
714:2x 3x 7x 17
493:17x 29
106:2x 53
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 17 = 68
Therefore, the value for common factors is 68.
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 = 27237914760/(1x68)
LCM = 27237914760/68
LCM = 400557570
Thus, we can understand that the LCM of 730,714,493,106 is 400557570.
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FAQs on LCM of 730, 714, 493, 106
1. What is the LCM of 730, 714, 493, 106?
Answer: LCM of 730, 714, 493, 106 is 400557570.
2. How to calculate the LCM of 730, 714, 493, 106?
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, 714, 493, 106.
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}.