LCM of 970, 970, 649, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 970, 649, 847 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 970, 970, 649, 847. So, keep reading to learn more.
Given numbers are 970,970,649,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,970,649,847 is 48473810.
Find LCM of 970,970,649,847 with Prime Factorization
| 2 | 970, 970, 649, 847 |
| 5 | 485, 485, 649, 847 |
| 11 | 97, 97, 649, 847 |
| 97 | 97, 97, 59, 77 |
| 1, 1, 59, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 97 x 1 x 1 x 59 x 77 = 48473810
Therefore, the lowest common multiple of 970,970,649,847 is 48473810.
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.
970 x 970 x 649 x 847 = 517215552700
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
970 : 1, 2, 5, 10, 97, 194, 485, 970
649 : 1, 11, 59, 649
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,970,649,847, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
970:2x 5x 97
649:11x 59
847:7x 11x 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 5x 11x 97 = 10670
Therefore, the value for common factors is 10670.
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 = 517215552700/(1x10670)
LCM = 517215552700/10670
LCM = 48473810
Thus, we can understand that the LCM of 970,970,649,847 is 48473810.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 970, 970, 649, 847
1. What is the LCM of 970, 970, 649, 847?
Answer: LCM of 970, 970, 649, 847 is 48473810.
2. How to calculate the LCM of 970, 970, 649, 847?
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 970, 970, 649, 847.
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}.