LCM of 836, 715, 902, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 836, 715, 902, 355 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 836, 715, 902, 355. So, keep reading to learn more.
Given numbers are 836,715,902,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,715,902,355 is 158183740.
Find LCM of 836,715,902,355 with Prime Factorization
| 2 | 836, 715, 902, 355 |
| 5 | 418, 715, 451, 355 |
| 11 | 418, 143, 451, 71 |
| 38, 13, 41, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 38 x 13 x 41 x 71 = 158183740
Therefore, the lowest common multiple of 836,715,902,355 is 158183740.
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.
836 x 715 x 902 x 355 = 191402325400
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
715 : 1, 5, 11, 13, 55, 65, 143, 715
902 : 1, 2, 11, 22, 41, 82, 451, 902
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,715,902,355, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
715:5x 11x 13
902:2x 11x 41
355:5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 11 = 1210
Therefore, the value for common factors is 1210.
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 = 191402325400/(1x1210)
LCM = 191402325400/1210
LCM = 158183740
Thus, we can understand that the LCM of 836,715,902,355 is 158183740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 836, 715, 902, 355
1. What is the LCM of 836, 715, 902, 355?
Answer: LCM of 836, 715, 902, 355 is 158183740.
2. How to calculate the LCM of 836, 715, 902, 355?
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 836, 715, 902, 355.
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}.