LCM of 814, 264, 535, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 264, 535, 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 814, 264, 535, 748. So, keep reading to learn more.
Given numbers are 814,264,535,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,264,535,748 is 88839960.
Find LCM of 814,264,535,748 with Prime Factorization
| 2 | 814, 264, 535, 748 |
| 2 | 407, 132, 535, 374 |
| 11 | 407, 66, 535, 187 |
| 37, 6, 535, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 37 x 6 x 535 x 17 = 88839960
Therefore, the lowest common multiple of 814,264,535,748 is 88839960.
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.
814 x 264 x 535 x 748 = 85997081280
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
535 : 1, 5, 107, 535
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 814,264,535,748, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
264:2x 2x 2x 3x 11
535:5x 107
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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 85997081280/(1x968)
LCM = 85997081280/968
LCM = 88839960
Thus, we can understand that the LCM of 814,264,535,748 is 88839960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 264, 535, 748
1. What is the LCM of 814, 264, 535, 748?
Answer: LCM of 814, 264, 535, 748 is 88839960.
2. How to calculate the LCM of 814, 264, 535, 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 814, 264, 535, 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}.