LCM of 613, 462, 852, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 613, 462, 852, 735 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 613, 462, 852, 735. So, keep reading to learn more.
Given numbers are 613,462,852,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 613,462,852,735 is 1407533820.
Find LCM of 613,462,852,735 with Prime Factorization
| 2 | 613, 462, 852, 735 |
| 3 | 613, 231, 426, 735 |
| 7 | 613, 77, 142, 245 |
| 613, 11, 142, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 613 x 11 x 142 x 35 = 1407533820
Therefore, the lowest common multiple of 613,462,852,735 is 1407533820.
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.
613 x 462 x 852 x 735 = 177349261320
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.
613 : 1, 613
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,462,852,735, is 1.
Now, the common factors can be found like this.
613:613
462:2x 3x 7x 11
852:2x 2x 3x 71
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 177349261320/(1x126)
LCM = 177349261320/126
LCM = 1407533820
Thus, we can understand that the LCM of 613,462,852,735 is 1407533820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 613, 462, 852, 735
1. What is the LCM of 613, 462, 852, 735?
Answer: LCM of 613, 462, 852, 735 is 1407533820.
2. How to calculate the LCM of 613, 462, 852, 735?
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 613, 462, 852, 735.
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}.