LCM of 706, 121, 154, 100, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 121, 154, 100, 341 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 706, 121, 154, 100, 341. So, keep reading to learn more.
Given numbers are 706,121,154,100,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,121,154,100,341 is 926872100.
Find LCM of 706,121,154,100,341 with Prime Factorization
| 2 | 706, 121, 154, 100, 341 |
| 11 | 353, 121, 77, 50, 341 |
| 353, 11, 7, 50, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 353 x 11 x 7 x 50 x 31 = 926872100
Therefore, the lowest common multiple of 706,121,154,100,341 is 926872100.
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.
706 x 121 x 154 x 100 x 341 = 448606096400
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.
706 : 1, 2, 353, 706
121 : 1, 11, 121
154 : 1, 2, 7, 11, 14, 22, 77, 154
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,121,154,100,341, is 1.
Now, the common factors can be found like this.
706:2x 353
121:11x 11
154:2x 7x 11
100:2x 2x 5x 5
341:11x 31
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 11x 11 = 484
Therefore, the value for common factors is 484.
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 = 448606096400/(1x484)
LCM = 448606096400/484
LCM = 926872100
Thus, we can understand that the LCM of 706,121,154,100,341 is 926872100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 706, 121, 154, 100, 341
1. What is the LCM of 706, 121, 154, 100, 341?
Answer: LCM of 706, 121, 154, 100, 341 is 926872100.
2. How to calculate the LCM of 706, 121, 154, 100, 341?
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 706, 121, 154, 100, 341.
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}.