LCM of 746, 699, 371, 462, 609
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 699, 371, 462, 609 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 746, 699, 371, 462, 609. So, keep reading to learn more.
Given numbers are 746,699,371,462,609
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,699,371,462,609 is 61713559446.
Find LCM of 746,699,371,462,609 with Prime Factorization
| 2 | 746, 699, 371, 462, 609 |
| 3 | 373, 699, 371, 231, 609 |
| 7 | 373, 233, 371, 77, 203 |
| 373, 233, 53, 11, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 373 x 233 x 53 x 11 x 29 = 61713559446
Therefore, the lowest common multiple of 746,699,371,462,609 is 61713559446.
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.
746 x 699 x 371 x 462 x 609 = 54431359431372
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.
746 : 1, 2, 373, 746
699 : 1, 3, 233, 699
371 : 1, 7, 53, 371
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
609 : 1, 3, 7, 21, 29, 87, 203, 609
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,699,371,462,609, is 1.
Now, the common factors can be found like this.
746:2x 373
699:3x 233
371:7x 53
462:2x 3x 7x 11
609:3x 7x 29
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 3x 7x 7 = 882
Therefore, the value for common factors is 882.
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 = 54431359431372/(1x882)
LCM = 54431359431372/882
LCM = 61713559446
Thus, we can understand that the LCM of 746,699,371,462,609 is 61713559446.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 746, 699, 371, 462, 609
1. What is the LCM of 746, 699, 371, 462, 609?
Answer: LCM of 746, 699, 371, 462, 609 is 61713559446.
2. How to calculate the LCM of 746, 699, 371, 462, 609?
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 746, 699, 371, 462, 609.
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}.