LCM of 508, 363, 936, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 363, 936, 748 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, 363, 936, 748. So, keep reading to learn more.
Given numbers are 508,363,936,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,363,936,748 is 244519704.
Find LCM of 508,363,936,748 with Prime Factorization
| 2 | 508, 363, 936, 748 |
| 2 | 254, 363, 468, 374 |
| 3 | 127, 363, 234, 187 |
| 11 | 127, 121, 78, 187 |
| 127, 11, 78, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 127 x 11 x 78 x 17 = 244519704
Therefore, the lowest common multiple of 508,363,936,748 is 244519704.
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 363 x 936 x 748 = 129106403712
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
363 : 1, 3, 11, 33, 121, 363
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,363,936,748, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
363:3x 11x 11
936:2x 2x 2x 3x 3x 13
748:2x 2x 11x 17
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 11 = 528
Therefore, the value for common factors is 528.
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 = 129106403712/(1x528)
LCM = 129106403712/528
LCM = 244519704
Thus, we can understand that the LCM of 508,363,936,748 is 244519704.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 363, 936, 748
1. What is the LCM of 508, 363, 936, 748?
Answer: LCM of 508, 363, 936, 748 is 244519704.
2. How to calculate the LCM of 508, 363, 936, 748?
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, 363, 936, 748.
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}.