LCM of 407, 892, 847, 497, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 892, 847, 497, 714 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 407, 892, 847, 497, 714. So, keep reading to learn more.
Given numbers are 407,892,847,497,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,892,847,497,714 is 101222838948.
Find LCM of 407,892,847,497,714 with Prime Factorization
| 2 | 407, 892, 847, 497, 714 |
| 7 | 407, 446, 847, 497, 357 |
| 11 | 407, 446, 121, 71, 51 |
| 37, 446, 11, 71, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 37 x 446 x 11 x 71 x 51 = 101222838948
Therefore, the lowest common multiple of 407,892,847,497,714 is 101222838948.
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.
407 x 892 x 847 x 497 x 714 = 109118220385944
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.
407 : 1, 11, 37, 407
892 : 1, 2, 4, 223, 446, 892
847 : 1, 7, 11, 77, 121, 847
497 : 1, 7, 71, 497
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,892,847,497,714, is 1.
Now, the common factors can be found like this.
407:11x 37
892:2x 2x 223
847:7x 11x 11
497:7x 71
714:2x 3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 11 = 1078
Therefore, the value for common factors is 1078.
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 = 109118220385944/(1x1078)
LCM = 109118220385944/1078
LCM = 101222838948
Thus, we can understand that the LCM of 407,892,847,497,714 is 101222838948.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 407, 892, 847, 497, 714
1. What is the LCM of 407, 892, 847, 497, 714?
Answer: LCM of 407, 892, 847, 497, 714 is 101222838948.
2. How to calculate the LCM of 407, 892, 847, 497, 714?
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 407, 892, 847, 497, 714.
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}.