Find the LCM of 254, 236, 649, 312, 868 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 254, 236, 649, 312, 868. So, keep reading to learn more.
Given numbers are 254,236,649,312,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 254,236,649,312,868 is 5580366792.
Find LCM of 254,236,649,312,868 with Prime Factorization
2 | 254, 236, 649, 312, 868 |
2 | 127, 118, 649, 156, 434 |
59 | 127, 59, 649, 78, 217 |
127, 1, 11, 78, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 59 x 127 x 1 x 11 x 78 x 217 = 5580366792
Therefore, the lowest common multiple of 254,236,649,312,868 is 5580366792.
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.
254 x 236 x 649 x 312 x 868 = 10535732503296
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.
254 : 1, 2, 127, 254
236 : 1, 2, 4, 59, 118, 236
649 : 1, 11, 59, 649
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,236,649,312,868, is 1.
Now, the common factors can be found like this.
254:2x 127
236:2x 2x 59
649:11x 59
312:2x 2x 2x 3x 13
868:2x 2x 7x 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 2x 2x 2x 59 = 1888
Therefore, the value for common factors is 1888.
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 = 10535732503296/(1x1888)
LCM = 10535732503296/1888
LCM = 5580366792
Thus, we can understand that the LCM of 254,236,649,312,868 is 5580366792.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 254, 236, 649, 312, 868?
Answer: LCM of 254, 236, 649, 312, 868 is 5580366792.
2. How to calculate the LCM of 254, 236, 649, 312, 868?
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 254, 236, 649, 312, 868.
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}.