LCM of 902, 718, 143, 300, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 718, 143, 300, 407 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 902, 718, 143, 300, 407. So, keep reading to learn more.
Given numbers are 902,718,143,300,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,718,143,300,407 is 23363468700.
Find LCM of 902,718,143,300,407 with Prime Factorization
| 2 | 902, 718, 143, 300, 407 |
| 11 | 451, 359, 143, 150, 407 |
| 41, 359, 13, 150, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 41 x 359 x 13 x 150 x 37 = 23363468700
Therefore, the lowest common multiple of 902,718,143,300,407 is 23363468700.
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.
902 x 718 x 143 x 300 x 407 = 11307918850800
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
718 : 1, 2, 359, 718
143 : 1, 11, 13, 143
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,718,143,300,407, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
718:2x 359
143:11x 13
300:2x 2x 3x 5x 5
407:11x 37
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 = 11307918850800/(1x484)
LCM = 11307918850800/484
LCM = 23363468700
Thus, we can understand that the LCM of 902,718,143,300,407 is 23363468700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 902, 718, 143, 300, 407
1. What is the LCM of 902, 718, 143, 300, 407?
Answer: LCM of 902, 718, 143, 300, 407 is 23363468700.
2. How to calculate the LCM of 902, 718, 143, 300, 407?
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 902, 718, 143, 300, 407.
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}.