LCM of 661, 439, 756, 714, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 439, 756, 714, 776 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 661, 439, 756, 714, 776. So, keep reading to learn more.
Given numbers are 661,439,756,714,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,439,756,714,776 is 723499818552.
Find LCM of 661,439,756,714,776 with Prime Factorization
| 2 | 661, 439, 756, 714, 776 |
| 2 | 661, 439, 378, 357, 388 |
| 3 | 661, 439, 189, 357, 194 |
| 7 | 661, 439, 63, 119, 194 |
| 661, 439, 9, 17, 194 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 661 x 439 x 9 x 17 x 194 = 723499818552
Therefore, the lowest common multiple of 661,439,756,714,776 is 723499818552.
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.
661 x 439 x 756 x 714 x 776 = 121547969516736
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.
661 : 1, 661
439 : 1, 439
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,439,756,714,776, is 1.
Now, the common factors can be found like this.
661:661
439:439
756:2x 2x 3x 3x 3x 7
714:2x 3x 7x 17
776:2x 2x 2x 97
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 3x 7 = 168
Therefore, the value for common factors is 168.
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 = 121547969516736/(1x168)
LCM = 121547969516736/168
LCM = 723499818552
Thus, we can understand that the LCM of 661,439,756,714,776 is 723499818552.
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FAQs on LCM of 661, 439, 756, 714, 776
1. What is the LCM of 661, 439, 756, 714, 776?
Answer: LCM of 661, 439, 756, 714, 776 is 723499818552.
2. How to calculate the LCM of 661, 439, 756, 714, 776?
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 661, 439, 756, 714, 776.
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}.