LCM of 641, 154, 226, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 641, 154, 226, 363 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 641, 154, 226, 363. So, keep reading to learn more.
Given numbers are 641,154,226,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 641,154,226,363 is 368104506.
Find LCM of 641,154,226,363 with Prime Factorization
| 2 | 641, 154, 226, 363 |
| 11 | 641, 77, 113, 363 |
| 641, 7, 113, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 641 x 7 x 113 x 33 = 368104506
Therefore, the lowest common multiple of 641,154,226,363 is 368104506.
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.
641 x 154 x 226 x 363 = 8098299132
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.
641 : 1, 641
154 : 1, 2, 7, 11, 14, 22, 77, 154
226 : 1, 2, 113, 226
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 641,154,226,363, is 1.
Now, the common factors can be found like this.
641:641
154:2x 7x 11
226:2x 113
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11 = 22
Therefore, the value for common factors is 22.
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 = 8098299132/(1x22)
LCM = 8098299132/22
LCM = 368104506
Thus, we can understand that the LCM of 641,154,226,363 is 368104506.
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FAQs on LCM of 641, 154, 226, 363
1. What is the LCM of 641, 154, 226, 363?
Answer: LCM of 641, 154, 226, 363 is 368104506.
2. How to calculate the LCM of 641, 154, 226, 363?
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 641, 154, 226, 363.
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}.