LCM of 746, 971, 324, 642, 688
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 971, 324, 642, 688 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, 971, 324, 642, 688. So, keep reading to learn more.
Given numbers are 746,971,324,642,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,971,324,642,688 is 2159659561968.
Find LCM of 746,971,324,642,688 with Prime Factorization
| 2 | 746, 971, 324, 642, 688 |
| 2 | 373, 971, 162, 321, 344 |
| 3 | 373, 971, 81, 321, 172 |
| 373, 971, 27, 107, 172 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 373 x 971 x 27 x 107 x 172 = 2159659561968
Therefore, the lowest common multiple of 746,971,324,642,688 is 2159659561968.
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 971 x 324 x 642 x 688 = 103663658974464
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
971 : 1, 971
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
642 : 1, 2, 3, 6, 107, 214, 321, 642
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,971,324,642,688, is 1.
Now, the common factors can be found like this.
746:2x 373
971:971
324:2x 2x 3x 3x 3x 3
642:2x 3x 107
688:2x 2x 2x 2x 43
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 3 = 48
Therefore, the value for common factors is 48.
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 = 103663658974464/(1x48)
LCM = 103663658974464/48
LCM = 2159659561968
Thus, we can understand that the LCM of 746,971,324,642,688 is 2159659561968.
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FAQs on LCM of 746, 971, 324, 642, 688
1. What is the LCM of 746, 971, 324, 642, 688?
Answer: LCM of 746, 971, 324, 642, 688 is 2159659561968.
2. How to calculate the LCM of 746, 971, 324, 642, 688?
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, 971, 324, 642, 688.
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}.