Find the LCM of 253, 901, 848, 368 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, 901, 848, 368. So, keep reading to learn more.
Given numbers are 253,901,848,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,901,848,368 is 3647248.
Find LCM of 253,901,848,368 with Prime Factorization
2 | 253, 901, 848, 368 |
2 | 253, 901, 424, 184 |
2 | 253, 901, 212, 92 |
2 | 253, 901, 106, 46 |
23 | 253, 901, 53, 23 |
53 | 11, 901, 53, 1 |
11, 17, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 53 x 11 x 17 x 1 x 1 = 3647248
Therefore, the lowest common multiple of 253,901,848,368 is 3647248.
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 901 x 848 x 368 = 71135924992
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
901 : 1, 17, 53, 901
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,901,848,368, is 1.
Now, the common factors can be found like this.
253:11x 23
901:17x 53
848:2x 2x 2x 2x 53
368:2x 2x 2x 2x 23
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 2x 2x 23x 53 = 19504
Therefore, the value for common factors is 19504.
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 = 71135924992/(1x19504)
LCM = 71135924992/19504
LCM = 3647248
Thus, we can understand that the LCM of 253,901,848,368 is 3647248.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 901, 848, 368?
Answer: LCM of 253, 901, 848, 368 is 3647248.
2. How to calculate the LCM of 253, 901, 848, 368?
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, 901, 848, 368.
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}.