LCM of 782, 851, 253, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 851, 253, 951 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 782, 851, 253, 951. So, keep reading to learn more.
Given numbers are 782,851,253,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,851,253,951 is 302678574.
Find LCM of 782,851,253,951 with Prime Factorization
| 23 | 782, 851, 253, 951 |
| 34, 37, 11, 951 |
Multiply the prime numbers at the bottom and the left side.
23 x 34 x 37 x 11 x 951 = 302678574
Therefore, the lowest common multiple of 782,851,253,951 is 302678574.
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.
782 x 851 x 253 x 951 = 160116965646
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
851 : 1, 23, 37, 851
253 : 1, 11, 23, 253
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,851,253,951, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
851:23x 37
253:11x 23
951:3x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 23 = 529
Therefore, the value for common factors is 529.
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 = 160116965646/(1x529)
LCM = 160116965646/529
LCM = 302678574
Thus, we can understand that the LCM of 782,851,253,951 is 302678574.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 782, 851, 253, 951
1. What is the LCM of 782, 851, 253, 951?
Answer: LCM of 782, 851, 253, 951 is 302678574.
2. How to calculate the LCM of 782, 851, 253, 951?
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 782, 851, 253, 951.
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}.