LCM of 578, 253, 332, 894, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 253, 332, 894, 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 578, 253, 332, 894, 748. So, keep reading to learn more.
Given numbers are 578,253,332,894,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,253,332,894,748 is 10850855268.
Find LCM of 578,253,332,894,748 with Prime Factorization
| 2 | 578, 253, 332, 894, 748 |
| 2 | 289, 253, 166, 447, 374 |
| 11 | 289, 253, 83, 447, 187 |
| 17 | 289, 23, 83, 447, 17 |
| 1, 23, 83, 447, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 1 x 23 x 83 x 447 x 17 = 10850855268
Therefore, the lowest common multiple of 578,253,332,894,748 is 10850855268.
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.
578 x 253 x 332 x 894 x 748 = 32465758961856
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.
578 : 1, 2, 17, 34, 289, 578
253 : 1, 11, 23, 253
332 : 1, 2, 4, 83, 166, 332
894 : 1, 2, 3, 6, 149, 298, 447, 894
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 578,253,332,894,748, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
253:11x 23
332:2x 2x 83
894:2x 3x 149
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 11x 17 = 2992
Therefore, the value for common factors is 2992.
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 = 32465758961856/(1x2992)
LCM = 32465758961856/2992
LCM = 10850855268
Thus, we can understand that the LCM of 578,253,332,894,748 is 10850855268.
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FAQs on LCM of 578, 253, 332, 894, 748
1. What is the LCM of 578, 253, 332, 894, 748?
Answer: LCM of 578, 253, 332, 894, 748 is 10850855268.
2. How to calculate the LCM of 578, 253, 332, 894, 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 578, 253, 332, 894, 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}.