Find the LCM of 343, 546, 995, 157, 959 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 343, 546, 995, 157, 959. So, keep reading to learn more.
Given numbers are 343,546,995,157,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 343,546,995,157,959 is 572574527070.
Find LCM of 343,546,995,157,959 with Prime Factorization
7 | 343, 546, 995, 157, 959 |
49, 78, 995, 157, 137 |
Multiply the prime numbers at the bottom and the left side.
7 x 49 x 78 x 995 x 157 x 137 = 572574527070
Therefore, the lowest common multiple of 343,546,995,157,959 is 572574527070.
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.
343 x 546 x 995 x 157 x 959 = 28056151826430
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.
343 : 1, 7, 49, 343
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
995 : 1, 5, 199, 995
157 : 1, 157
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,546,995,157,959, is 1.
Now, the common factors can be found like this.
343:7x 7x 7
546:2x 3x 7x 13
995:5x 199
157:157
959:7x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7 = 49
Therefore, the value for common factors is 49.
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 = 28056151826430/(1x49)
LCM = 28056151826430/49
LCM = 572574527070
Thus, we can understand that the LCM of 343,546,995,157,959 is 572574527070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 343, 546, 995, 157, 959?
Answer: LCM of 343, 546, 995, 157, 959 is 572574527070.
2. How to calculate the LCM of 343, 546, 995, 157, 959?
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 343, 546, 995, 157, 959.
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}.