LCM of 253, 703, 407, 849
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 703, 407, 849 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 253, 703, 407, 849. So, keep reading to learn more.
Given numbers are 253,703,407,849
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,703,407,849 is 151002291.
Find LCM of 253,703,407,849 with Prime Factorization
| 11 | 253, 703, 407, 849 |
| 37 | 23, 703, 37, 849 |
| 23, 19, 1, 849 |
Multiply the prime numbers at the bottom and the left side.
11 x 37 x 23 x 19 x 1 x 849 = 151002291
Therefore, the lowest common multiple of 253,703,407,849 is 151002291.
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.
253 x 703 x 407 x 849 = 61457932437
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.
253 : 1, 11, 23, 253
703 : 1, 19, 37, 703
407 : 1, 11, 37, 407
849 : 1, 3, 283, 849
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,703,407,849, is 1.
Now, the common factors can be found like this.
253:11x 23
703:19x 37
407:11x 37
849:3x 283
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 37 = 407
Therefore, the value for common factors is 407.
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 = 61457932437/(1x407)
LCM = 61457932437/407
LCM = 151002291
Thus, we can understand that the LCM of 253,703,407,849 is 151002291.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 703, 407, 849
1. What is the LCM of 253, 703, 407, 849?
Answer: LCM of 253, 703, 407, 849 is 151002291.
2. How to calculate the LCM of 253, 703, 407, 849?
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 253, 703, 407, 849.
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}.