LCM of 971, 316, 908, 681, 934
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 971, 316, 908, 681, 934 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 971, 316, 908, 681, 934. So, keep reading to learn more.
Given numbers are 971,316,908,681,934
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 971,316,908,681,934 is 97582132572.
Find LCM of 971,316,908,681,934 with Prime Factorization
| 2 | 971, 316, 908, 681, 934 |
| 2 | 971, 158, 454, 681, 467 |
| 227 | 971, 79, 227, 681, 467 |
| 971, 79, 1, 3, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 227 x 971 x 79 x 1 x 3 x 467 = 97582132572
Therefore, the lowest common multiple of 971,316,908,681,934 is 97582132572.
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.
971 x 316 x 908 x 681 x 934 = 177209152750752
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.
971 : 1, 971
316 : 1, 2, 4, 79, 158, 316
908 : 1, 2, 4, 227, 454, 908
681 : 1, 3, 227, 681
934 : 1, 2, 467, 934
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 971,316,908,681,934, is 1.
Now, the common factors can be found like this.
971:971
316:2x 2x 79
908:2x 2x 227
681:3x 227
934:2x 467
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 227 = 1816
Therefore, the value for common factors is 1816.
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 = 177209152750752/(1x1816)
LCM = 177209152750752/1816
LCM = 97582132572
Thus, we can understand that the LCM of 971,316,908,681,934 is 97582132572.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 971, 316, 908, 681, 934
1. What is the LCM of 971, 316, 908, 681, 934?
Answer: LCM of 971, 316, 908, 681, 934 is 97582132572.
2. How to calculate the LCM of 971, 316, 908, 681, 934?
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 971, 316, 908, 681, 934.
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}.