LCM of 968, 352, 506, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 968, 352, 506, 946 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 968, 352, 506, 946. So, keep reading to learn more.
Given numbers are 968,352,506,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 968,352,506,946 is 3829408.
Find LCM of 968,352,506,946 with Prime Factorization
| 2 | 968, 352, 506, 946 |
| 2 | 484, 176, 253, 473 |
| 2 | 242, 88, 253, 473 |
| 11 | 121, 44, 253, 473 |
| 11, 4, 23, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 11 x 4 x 23 x 43 = 3829408
Therefore, the lowest common multiple of 968,352,506,946 is 3829408.
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.
968 x 352 x 506 x 946 = 163102145536
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.
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
506 : 1, 2, 11, 22, 23, 46, 253, 506
946 : 1, 2, 11, 22, 43, 86, 473, 946
22 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,352,506,946, is 22.
Now, the common factors can be found like this.
968:2x 2x 2x 11x 11
352:2x 2x 2x 2x 2x 11
506:2x 11x 23
946:2x 11x 43
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 11x 11 = 1936
Therefore, the value for common factors is 1936.
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 = 163102145536/(22x1936)
LCM = 163102145536/42592
LCM = 3829408
Thus, we can understand that the LCM of 968,352,506,946 is 3829408.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 968, 352, 506, 946
1. What is the LCM of 968, 352, 506, 946?
Answer: LCM of 968, 352, 506, 946 is 3829408.
2. How to calculate the LCM of 968, 352, 506, 946?
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 968, 352, 506, 946.
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}.