LCM of 710, 823, 970, 873
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 710, 823, 970, 873 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 710, 823, 970, 873. So, keep reading to learn more.
Given numbers are 710,823,970,873
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 710,823,970,873 is 510120090.
Find LCM of 710,823,970,873 with Prime Factorization
| 2 | 710, 823, 970, 873 |
| 5 | 355, 823, 485, 873 |
| 97 | 71, 823, 97, 873 |
| 71, 823, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 97 x 71 x 823 x 1 x 9 = 510120090
Therefore, the lowest common multiple of 710,823,970,873 is 510120090.
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.
710 x 823 x 970 x 873 = 494816487300
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.
710 : 1, 2, 5, 10, 71, 142, 355, 710
823 : 1, 823
970 : 1, 2, 5, 10, 97, 194, 485, 970
873 : 1, 3, 9, 97, 291, 873
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,823,970,873, is 1.
Now, the common factors can be found like this.
710:2x 5x 71
823:823
970:2x 5x 97
873:3x 3x 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 5x 97 = 970
Therefore, the value for common factors is 970.
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 = 494816487300/(1x970)
LCM = 494816487300/970
LCM = 510120090
Thus, we can understand that the LCM of 710,823,970,873 is 510120090.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 710, 823, 970, 873
1. What is the LCM of 710, 823, 970, 873?
Answer: LCM of 710, 823, 970, 873 is 510120090.
2. How to calculate the LCM of 710, 823, 970, 873?
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 710, 823, 970, 873.
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}.