LCM of 161, 309, 746, 363, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 161, 309, 746, 363, 294 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 161, 309, 746, 363, 294. So, keep reading to learn more.
Given numbers are 161,309,746,363,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,309,746,363,294 is 31434502638.
Find LCM of 161,309,746,363,294 with Prime Factorization
| 2 | 161, 309, 746, 363, 294 |
| 3 | 161, 309, 373, 363, 147 |
| 7 | 161, 103, 373, 121, 49 |
| 23, 103, 373, 121, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 103 x 373 x 121 x 7 = 31434502638
Therefore, the lowest common multiple of 161,309,746,363,294 is 31434502638.
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.
161 x 309 x 746 x 363 x 294 = 3960747332388
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.
161 : 1, 7, 23, 161
309 : 1, 3, 103, 309
746 : 1, 2, 373, 746
363 : 1, 3, 11, 33, 121, 363
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,309,746,363,294, is 1.
Now, the common factors can be found like this.
161:7x 23
309:3x 103
746:2x 373
363:3x 11x 11
294:2x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 3960747332388/(1x126)
LCM = 3960747332388/126
LCM = 31434502638
Thus, we can understand that the LCM of 161,309,746,363,294 is 31434502638.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 161, 309, 746, 363, 294
1. What is the LCM of 161, 309, 746, 363, 294?
Answer: LCM of 161, 309, 746, 363, 294 is 31434502638.
2. How to calculate the LCM of 161, 309, 746, 363, 294?
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 161, 309, 746, 363, 294.
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}.