LCM of 970, 957, 690, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 957, 690, 522 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, 957, 690, 522. So, keep reading to learn more.
Given numbers are 970,957,690,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,957,690,522 is 64052010.
Find LCM of 970,957,690,522 with Prime Factorization
| 2 | 970, 957, 690, 522 |
| 3 | 485, 957, 345, 261 |
| 5 | 485, 319, 115, 87 |
| 29 | 97, 319, 23, 87 |
| 97, 11, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 29 x 97 x 11 x 23 x 3 = 64052010
Therefore, the lowest common multiple of 970,957,690,522 is 64052010.
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 957 x 690 x 522 = 334351492200
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
957 : 1, 3, 11, 29, 33, 87, 319, 957
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,957,690,522, is 1.
Now, the common factors can be found like this.
970:2x 5x 97
957:3x 11x 29
690:2x 3x 5x 23
522:2x 3x 3x 29
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 3x 3x 5x 29 = 5220
Therefore, the value for common factors is 5220.
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 = 334351492200/(1x5220)
LCM = 334351492200/5220
LCM = 64052010
Thus, we can understand that the LCM of 970,957,690,522 is 64052010.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 970, 957, 690, 522
1. What is the LCM of 970, 957, 690, 522?
Answer: LCM of 970, 957, 690, 522 is 64052010.
2. How to calculate the LCM of 970, 957, 690, 522?
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, 957, 690, 522.
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}.