LCM of 583, 136, 826, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 136, 826, 708 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 583, 136, 826, 708. So, keep reading to learn more.
Given numbers are 583,136,826,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,136,826,708 is 98237832.
Find LCM of 583,136,826,708 with Prime Factorization
| 2 | 583, 136, 826, 708 |
| 2 | 583, 68, 413, 354 |
| 59 | 583, 34, 413, 177 |
| 583, 34, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 59 x 583 x 34 x 7 x 3 = 98237832
Therefore, the lowest common multiple of 583,136,826,708 is 98237832.
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.
583 x 136 x 826 x 708 = 46368256704
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.
583 : 1, 11, 53, 583
136 : 1, 2, 4, 8, 17, 34, 68, 136
826 : 1, 2, 7, 14, 59, 118, 413, 826
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,136,826,708, is 1.
Now, the common factors can be found like this.
583:11x 53
136:2x 2x 2x 17
826:2x 7x 59
708:2x 2x 3x 59
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 59 = 472
Therefore, the value for common factors is 472.
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 = 46368256704/(1x472)
LCM = 46368256704/472
LCM = 98237832
Thus, we can understand that the LCM of 583,136,826,708 is 98237832.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 583, 136, 826, 708
1. What is the LCM of 583, 136, 826, 708?
Answer: LCM of 583, 136, 826, 708 is 98237832.
2. How to calculate the LCM of 583, 136, 826, 708?
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 583, 136, 826, 708.
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}.