Find the LCM of 853, 901, 918, 689, 922 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 853, 901, 918, 689, 922. So, keep reading to learn more.
Given numbers are 853,901,918,689,922
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,901,918,689,922 is 248720658966.
Find LCM of 853,901,918,689,922 with Prime Factorization
2 | 853, 901, 918, 689, 922 |
17 | 853, 901, 459, 689, 461 |
53 | 853, 53, 27, 689, 461 |
853, 1, 27, 13, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 53 x 853 x 1 x 27 x 13 x 461 = 248720658966
Therefore, the lowest common multiple of 853,901,918,689,922 is 248720658966.
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.
853 x 901 x 918 x 689 x 922 = 448194627456732
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.
853 : 1, 853
901 : 1, 17, 53, 901
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
689 : 1, 13, 53, 689
922 : 1, 2, 461, 922
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,901,918,689,922, is 1.
Now, the common factors can be found like this.
853:853
901:17x 53
918:2x 3x 3x 3x 17
689:13x 53
922:2x 461
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 53 = 1802
Therefore, the value for common factors is 1802.
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 = 448194627456732/(1x1802)
LCM = 448194627456732/1802
LCM = 248720658966
Thus, we can understand that the LCM of 853,901,918,689,922 is 248720658966.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 853, 901, 918, 689, 922?
Answer: LCM of 853, 901, 918, 689, 922 is 248720658966.
2. How to calculate the LCM of 853, 901, 918, 689, 922?
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 853, 901, 918, 689, 922.
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}.