LCM of 781, 316, 972, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 316, 972, 964 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 781, 316, 972, 964. So, keep reading to learn more.
Given numbers are 781,316,972,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,316,972,964 is 14453114148.
Find LCM of 781,316,972,964 with Prime Factorization
| 2 | 781, 316, 972, 964 |
| 2 | 781, 158, 486, 482 |
| 781, 79, 243, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 781 x 79 x 243 x 241 = 14453114148
Therefore, the lowest common multiple of 781,316,972,964 is 14453114148.
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.
781 x 316 x 972 x 964 = 231249826368
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.
781 : 1, 11, 71, 781
316 : 1, 2, 4, 79, 158, 316
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,316,972,964, is 1.
Now, the common factors can be found like this.
781:11x 71
316:2x 2x 79
972:2x 2x 3x 3x 3x 3x 3
964:2x 2x 241
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 2 = 16
Therefore, the value for common factors is 16.
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 = 231249826368/(1x16)
LCM = 231249826368/16
LCM = 14453114148
Thus, we can understand that the LCM of 781,316,972,964 is 14453114148.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 316, 972, 964
1. What is the LCM of 781, 316, 972, 964?
Answer: LCM of 781, 316, 972, 964 is 14453114148.
2. How to calculate the LCM of 781, 316, 972, 964?
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 781, 316, 972, 964.
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}.