LCM of 952, 759, 584, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 759, 584, 968 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 952, 759, 584, 968. So, keep reading to learn more.
Given numbers are 952,759,584,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,759,584,968 is 580222104.
Find LCM of 952,759,584,968 with Prime Factorization
| 2 | 952, 759, 584, 968 |
| 2 | 476, 759, 292, 484 |
| 2 | 238, 759, 146, 242 |
| 11 | 119, 759, 73, 121 |
| 119, 69, 73, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 119 x 69 x 73 x 11 = 580222104
Therefore, the lowest common multiple of 952,759,584,968 is 580222104.
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.
952 x 759 x 584 x 968 = 408476361216
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
759 : 1, 3, 11, 23, 33, 69, 253, 759
584 : 1, 2, 4, 8, 73, 146, 292, 584
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,759,584,968, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
759:3x 11x 23
584:2x 2x 2x 73
968:2x 2x 2x 11x 11
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 2x 2x 11 = 704
Therefore, the value for common factors is 704.
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 = 408476361216/(1x704)
LCM = 408476361216/704
LCM = 580222104
Thus, we can understand that the LCM of 952,759,584,968 is 580222104.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 952, 759, 584, 968
1. What is the LCM of 952, 759, 584, 968?
Answer: LCM of 952, 759, 584, 968 is 580222104.
2. How to calculate the LCM of 952, 759, 584, 968?
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 952, 759, 584, 968.
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}.