Find the LCM of 105, 685, 572, 253, 994 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 105, 685, 572, 253, 994. So, keep reading to learn more.
Given numbers are 105,685,572,253,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,685,572,253,994 is 13436683260.
Find LCM of 105,685,572,253,994 with Prime Factorization
2 | 105, 685, 572, 253, 994 |
5 | 105, 685, 286, 253, 497 |
7 | 21, 137, 286, 253, 497 |
11 | 3, 137, 286, 253, 71 |
3, 137, 26, 23, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 3 x 137 x 26 x 23 x 71 = 13436683260
Therefore, the lowest common multiple of 105,685,572,253,994 is 13436683260.
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.
105 x 685 x 572 x 253 x 994 = 10346246110200
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
685 : 1, 5, 137, 685
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
253 : 1, 11, 23, 253
994 : 1, 2, 7, 14, 71, 142, 497, 994
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,685,572,253,994, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
685:5x 137
572:2x 2x 11x 13
253:11x 23
994:2x 7x 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 7x 11 = 770
Therefore, the value for common factors is 770.
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 = 10346246110200/(1x770)
LCM = 10346246110200/770
LCM = 13436683260
Thus, we can understand that the LCM of 105,685,572,253,994 is 13436683260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 105, 685, 572, 253, 994?
Answer: LCM of 105, 685, 572, 253, 994 is 13436683260.
2. How to calculate the LCM of 105, 685, 572, 253, 994?
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 105, 685, 572, 253, 994.
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}.