LCM of 231, 649, 968, 154, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 231, 649, 968, 154, 354 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 231, 649, 968, 154, 354. So, keep reading to learn more.
Given numbers are 231,649,968,154,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,649,968,154,354 is 1199352.
Find LCM of 231,649,968,154,354 with Prime Factorization
| 2 | 231, 649, 968, 154, 354 |
| 3 | 231, 649, 484, 77, 177 |
| 7 | 77, 649, 484, 77, 59 |
| 11 | 11, 649, 484, 11, 59 |
| 59 | 1, 59, 44, 1, 59 |
| 1, 1, 44, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 59 x 1 x 1 x 44 x 1 x 1 = 1199352
Therefore, the lowest common multiple of 231,649,968,154,354 is 1199352.
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.
231 x 649 x 968 x 154 x 354 = 7911448709472
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
649 : 1, 11, 59, 649
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
154 : 1, 2, 7, 11, 14, 22, 77, 154
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,649,968,154,354, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
649:11x 59
968:2x 2x 2x 11x 11
154:2x 7x 11
354:2x 3x 59
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 7x 11x 11x 11x 59 = 6596436
Therefore, the value for common factors is 6596436.
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 = 7911448709472/(1x6596436)
LCM = 7911448709472/6596436
LCM = 1199352
Thus, we can understand that the LCM of 231,649,968,154,354 is 1199352.
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FAQs on LCM of 231, 649, 968, 154, 354
1. What is the LCM of 231, 649, 968, 154, 354?
Answer: LCM of 231, 649, 968, 154, 354 is 1199352.
2. How to calculate the LCM of 231, 649, 968, 154, 354?
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 231, 649, 968, 154, 354.
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}.