LCM of 979, 178, 202, 667, 358
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 178, 202, 667, 358 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 979, 178, 202, 667, 358. So, keep reading to learn more.
Given numbers are 979,178,202,667,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,178,202,667,358 is 23610920894.
Find LCM of 979,178,202,667,358 with Prime Factorization
| 2 | 979, 178, 202, 667, 358 |
| 89 | 979, 89, 101, 667, 179 |
| 11, 1, 101, 667, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 89 x 11 x 1 x 101 x 667 x 179 = 23610920894
Therefore, the lowest common multiple of 979,178,202,667,358 is 23610920894.
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.
979 x 178 x 202 x 667 x 358 = 8405487838264
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.
979 : 1, 11, 89, 979
178 : 1, 2, 89, 178
202 : 1, 2, 101, 202
667 : 1, 23, 29, 667
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,178,202,667,358, is 1.
Now, the common factors can be found like this.
979:11x 89
178:2x 89
202:2x 101
667:23x 29
358:2x 179
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 89 = 356
Therefore, the value for common factors is 356.
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 = 8405487838264/(1x356)
LCM = 8405487838264/356
LCM = 23610920894
Thus, we can understand that the LCM of 979,178,202,667,358 is 23610920894.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 979, 178, 202, 667, 358
1. What is the LCM of 979, 178, 202, 667, 358?
Answer: LCM of 979, 178, 202, 667, 358 is 23610920894.
2. How to calculate the LCM of 979, 178, 202, 667, 358?
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 979, 178, 202, 667, 358.
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}.