LCM of 721, 785, 636, 618, 497
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 785, 636, 618, 497 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 721, 785, 636, 618, 497. So, keep reading to learn more.
Given numbers are 721,785,636,618,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,785,636,618,497 is 25557618660.
Find LCM of 721,785,636,618,497 with Prime Factorization
| 2 | 721, 785, 636, 618, 497 |
| 3 | 721, 785, 318, 309, 497 |
| 7 | 721, 785, 106, 103, 497 |
| 103 | 103, 785, 106, 103, 71 |
| 1, 785, 106, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 103 x 1 x 785 x 106 x 1 x 71 = 25557618660
Therefore, the lowest common multiple of 721,785,636,618,497 is 25557618660.
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.
721 x 785 x 636 x 618 x 497 = 110562258323160
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.
721 : 1, 7, 103, 721
785 : 1, 5, 157, 785
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
618 : 1, 2, 3, 6, 103, 206, 309, 618
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,785,636,618,497, is 1.
Now, the common factors can be found like this.
721:7x 103
785:5x 157
636:2x 2x 3x 53
618:2x 3x 103
497:7x 71
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 7x 103 = 4326
Therefore, the value for common factors is 4326.
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 = 110562258323160/(1x4326)
LCM = 110562258323160/4326
LCM = 25557618660
Thus, we can understand that the LCM of 721,785,636,618,497 is 25557618660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 721, 785, 636, 618, 497
1. What is the LCM of 721, 785, 636, 618, 497?
Answer: LCM of 721, 785, 636, 618, 497 is 25557618660.
2. How to calculate the LCM of 721, 785, 636, 618, 497?
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 721, 785, 636, 618, 497.
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}.