LCM of 730, 699, 371, 315, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 730, 699, 371, 315, 742 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, 699, 371, 315, 742. So, keep reading to learn more.
Given numbers are 730,699,371,315,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,699,371,315,742 is 567930510.
Find LCM of 730,699,371,315,742 with Prime Factorization
| 2 | 730, 699, 371, 315, 742 |
| 3 | 365, 699, 371, 315, 371 |
| 5 | 365, 233, 371, 105, 371 |
| 7 | 73, 233, 371, 21, 371 |
| 53 | 73, 233, 53, 3, 53 |
| 73, 233, 1, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 53 x 73 x 233 x 1 x 3 x 1 = 567930510
Therefore, the lowest common multiple of 730,699,371,315,742 is 567930510.
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 699 x 371 x 315 x 742 = 44247466034100
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
699 : 1, 3, 233, 699
371 : 1, 7, 53, 371
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,699,371,315,742, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
699:3x 233
371:7x 53
315:3x 3x 5x 7
742:2x 7x 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 3x 5x 7x 7x 53 = 77910
Therefore, the value for common factors is 77910.
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 = 44247466034100/(1x77910)
LCM = 44247466034100/77910
LCM = 567930510
Thus, we can understand that the LCM of 730,699,371,315,742 is 567930510.
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FAQs on LCM of 730, 699, 371, 315, 742
1. What is the LCM of 730, 699, 371, 315, 742?
Answer: LCM of 730, 699, 371, 315, 742 is 567930510.
2. How to calculate the LCM of 730, 699, 371, 315, 742?
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, 699, 371, 315, 742.
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}.