LCM of 797, 750, 353, 353, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 750, 353, 353, 924 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 797, 750, 353, 353, 924. So, keep reading to learn more.
Given numbers are 797,750,353,353,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,750,353,353,924 is 32494885500.
Find LCM of 797,750,353,353,924 with Prime Factorization
| 2 | 797, 750, 353, 353, 924 |
| 3 | 797, 375, 353, 353, 462 |
| 353 | 797, 125, 353, 353, 154 |
| 797, 125, 1, 1, 154 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 353 x 797 x 125 x 1 x 1 x 154 = 32494885500
Therefore, the lowest common multiple of 797,750,353,353,924 is 32494885500.
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.
797 x 750 x 353 x 353 x 924 = 68824167489000
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.
797 : 1, 797
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
353 : 1, 353
353 : 1, 353
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,750,353,353,924, is 1.
Now, the common factors can be found like this.
797:797
750:2x 3x 5x 5x 5
353:353
353:353
924:2x 2x 3x 7x 11
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 353 = 2118
Therefore, the value for common factors is 2118.
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 = 68824167489000/(1x2118)
LCM = 68824167489000/2118
LCM = 32494885500
Thus, we can understand that the LCM of 797,750,353,353,924 is 32494885500.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 797, 750, 353, 353, 924
1. What is the LCM of 797, 750, 353, 353, 924?
Answer: LCM of 797, 750, 353, 353, 924 is 32494885500.
2. How to calculate the LCM of 797, 750, 353, 353, 924?
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 797, 750, 353, 353, 924.
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}.