LCM of 970, 194, 194, 932, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 194, 194, 932, 632 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, 194, 194, 932, 632. So, keep reading to learn more.
Given numbers are 970,194,194,932,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,194,194,932,632 is 71419160.
Find LCM of 970,194,194,932,632 with Prime Factorization
| 2 | 970, 194, 194, 932, 632 |
| 2 | 485, 97, 97, 466, 316 |
| 97 | 485, 97, 97, 233, 158 |
| 5, 1, 1, 233, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 97 x 5 x 1 x 1 x 233 x 158 = 71419160
Therefore, the lowest common multiple of 970,194,194,932,632 is 71419160.
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 194 x 194 x 932 x 632 = 21503452046080
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
194 : 1, 2, 97, 194
194 : 1, 2, 97, 194
932 : 1, 2, 4, 233, 466, 932
632 : 1, 2, 4, 8, 79, 158, 316, 632
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,194,194,932,632, is 2.
Now, the common factors can be found like this.
970:2x 5x 97
194:2x 97
194:2x 97
932:2x 2x 233
632:2x 2x 2x 79
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 97x 97 = 150544
Therefore, the value for common factors is 150544.
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 = 21503452046080/(2x150544)
LCM = 21503452046080/301088
LCM = 71419160
Thus, we can understand that the LCM of 970,194,194,932,632 is 71419160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 970, 194, 194, 932, 632
1. What is the LCM of 970, 194, 194, 932, 632?
Answer: LCM of 970, 194, 194, 932, 632 is 71419160.
2. How to calculate the LCM of 970, 194, 194, 932, 632?
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, 194, 194, 932, 632.
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}.