LCM of 914, 368, 748, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 368, 748, 578 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 914, 368, 748, 578. So, keep reading to learn more.
Given numbers are 914,368,748,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,368,748,578 is 534631504.
Find LCM of 914,368,748,578 with Prime Factorization
| 2 | 914, 368, 748, 578 |
| 2 | 457, 184, 374, 289 |
| 17 | 457, 92, 187, 289 |
| 457, 92, 11, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 457 x 92 x 11 x 17 = 534631504
Therefore, the lowest common multiple of 914,368,748,578 is 534631504.
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.
914 x 368 x 748 x 578 = 145419769088
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.
914 : 1, 2, 457, 914
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
578 : 1, 2, 17, 34, 289, 578
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,368,748,578, is 2.
Now, the common factors can be found like this.
914:2x 457
368:2x 2x 2x 2x 23
748:2x 2x 11x 17
578:2x 17x 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 17 = 136
Therefore, the value for common factors is 136.
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 = 145419769088/(2x136)
LCM = 145419769088/272
LCM = 534631504
Thus, we can understand that the LCM of 914,368,748,578 is 534631504.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 914, 368, 748, 578
1. What is the LCM of 914, 368, 748, 578?
Answer: LCM of 914, 368, 748, 578 is 534631504.
2. How to calculate the LCM of 914, 368, 748, 578?
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 914, 368, 748, 578.
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}.