LCM of 948, 821, 612, 549, 353
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 821, 612, 549, 353 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 948, 821, 612, 549, 353. So, keep reading to learn more.
Given numbers are 948,821,612,549,353
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,821,612,549,353 is 854724614364.
Find LCM of 948,821,612,549,353 with Prime Factorization
| 2 | 948, 821, 612, 549, 353 |
| 2 | 474, 821, 306, 549, 353 |
| 3 | 237, 821, 153, 549, 353 |
| 3 | 79, 821, 51, 183, 353 |
| 79, 821, 17, 61, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 79 x 821 x 17 x 61 x 353 = 854724614364
Therefore, the lowest common multiple of 948,821,612,549,353 is 854724614364.
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.
948 x 821 x 612 x 549 x 353 = 92310258351312
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
821 : 1, 821
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
549 : 1, 3, 9, 61, 183, 549
353 : 1, 353
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,821,612,549,353, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
821:821
612:2x 2x 3x 3x 17
549:3x 3x 61
353:353
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 92310258351312/(1x108)
LCM = 92310258351312/108
LCM = 854724614364
Thus, we can understand that the LCM of 948,821,612,549,353 is 854724614364.
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FAQs on LCM of 948, 821, 612, 549, 353
1. What is the LCM of 948, 821, 612, 549, 353?
Answer: LCM of 948, 821, 612, 549, 353 is 854724614364.
2. How to calculate the LCM of 948, 821, 612, 549, 353?
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 948, 821, 612, 549, 353.
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}.