LCM of 508, 472, 969, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 472, 969, 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 508, 472, 969, 708. So, keep reading to learn more.
Given numbers are 508,472,969,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,472,969,708 is 58085736.
Find LCM of 508,472,969,708 with Prime Factorization
| 2 | 508, 472, 969, 708 |
| 2 | 254, 236, 969, 354 |
| 3 | 127, 118, 969, 177 |
| 59 | 127, 118, 323, 59 |
| 127, 2, 323, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 127 x 2 x 323 x 1 = 58085736
Therefore, the lowest common multiple of 508,472,969,708 is 58085736.
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.
508 x 472 x 969 x 708 = 164498804352
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.
508 : 1, 2, 4, 127, 254, 508
472 : 1, 2, 4, 8, 59, 118, 236, 472
969 : 1, 3, 17, 19, 51, 57, 323, 969
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 508,472,969,708, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
472:2x 2x 2x 59
969:3x 17x 19
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 2x 3x 59 = 2832
Therefore, the value for common factors is 2832.
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 = 164498804352/(1x2832)
LCM = 164498804352/2832
LCM = 58085736
Thus, we can understand that the LCM of 508,472,969,708 is 58085736.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 472, 969, 708
1. What is the LCM of 508, 472, 969, 708?
Answer: LCM of 508, 472, 969, 708 is 58085736.
2. How to calculate the LCM of 508, 472, 969, 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 508, 472, 969, 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}.