LCM of 710, 778, 656, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 710, 778, 656, 984 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, 778, 656, 984. So, keep reading to learn more.
Given numbers are 710,778,656,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 710,778,656,984 is 271770960.
Find LCM of 710,778,656,984 with Prime Factorization
| 2 | 710, 778, 656, 984 |
| 2 | 355, 389, 328, 492 |
| 2 | 355, 389, 164, 246 |
| 41 | 355, 389, 82, 123 |
| 355, 389, 2, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 41 x 355 x 389 x 2 x 3 = 271770960
Therefore, the lowest common multiple of 710,778,656,984 is 271770960.
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 778 x 656 x 984 = 356563499520
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
778 : 1, 2, 389, 778
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 710,778,656,984, is 2.
Now, the common factors can be found like this.
710:2x 5x 71
778:2x 389
656:2x 2x 2x 2x 41
984:2x 2x 2x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 41 = 656
Therefore, the value for common factors is 656.
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 = 356563499520/(2x656)
LCM = 356563499520/1312
LCM = 271770960
Thus, we can understand that the LCM of 710,778,656,984 is 271770960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 710, 778, 656, 984
1. What is the LCM of 710, 778, 656, 984?
Answer: LCM of 710, 778, 656, 984 is 271770960.
2. How to calculate the LCM of 710, 778, 656, 984?
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, 778, 656, 984.
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}.