LCM of 964, 812, 735, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 812, 735, 628 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 964, 812, 735, 628. So, keep reading to learn more.
Given numbers are 964,812,735,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,812,735,628 is 3225982620.
Find LCM of 964,812,735,628 with Prime Factorization
| 2 | 964, 812, 735, 628 |
| 2 | 482, 406, 735, 314 |
| 7 | 241, 203, 735, 157 |
| 241, 29, 105, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 241 x 29 x 105 x 157 = 3225982620
Therefore, the lowest common multiple of 964,812,735,628 is 3225982620.
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.
964 x 812 x 735 x 628 = 361310053440
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.
964 : 1, 2, 4, 241, 482, 964
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,812,735,628, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
812:2x 2x 7x 29
735:3x 5x 7x 7
628:2x 2x 157
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 7 = 112
Therefore, the value for common factors is 112.
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 = 361310053440/(1x112)
LCM = 361310053440/112
LCM = 3225982620
Thus, we can understand that the LCM of 964,812,735,628 is 3225982620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 812, 735, 628
1. What is the LCM of 964, 812, 735, 628?
Answer: LCM of 964, 812, 735, 628 is 3225982620.
2. How to calculate the LCM of 964, 812, 735, 628?
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 964, 812, 735, 628.
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}.