LCM of 272, 336, 782, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 336, 782, 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 272, 336, 782, 748. So, keep reading to learn more.
Given numbers are 272,336,782,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,336,782,748 is 1445136.
Find LCM of 272,336,782,748 with Prime Factorization
| 2 | 272, 336, 782, 748 |
| 2 | 136, 168, 391, 374 |
| 2 | 68, 84, 391, 187 |
| 2 | 34, 42, 391, 187 |
| 17 | 17, 21, 391, 187 |
| 1, 21, 23, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 17 x 1 x 21 x 23 x 11 = 1445136
Therefore, the lowest common multiple of 272,336,782,748 is 1445136.
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.
272 x 336 x 782 x 748 = 53458470912
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
782 : 1, 2, 17, 23, 34, 46, 391, 782
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,336,782,748, is 2.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
336:2x 2x 2x 2x 3x 7
782:2x 17x 23
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 2x 2x 17x 17 = 18496
Therefore, the value for common factors is 18496.
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 = 53458470912/(2x18496)
LCM = 53458470912/36992
LCM = 1445136
Thus, we can understand that the LCM of 272,336,782,748 is 1445136.
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FAQs on LCM of 272, 336, 782, 748
1. What is the LCM of 272, 336, 782, 748?
Answer: LCM of 272, 336, 782, 748 is 1445136.
2. How to calculate the LCM of 272, 336, 782, 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 272, 336, 782, 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}.