LCM of 542, 350, 312, 223, 936
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 350, 312, 223, 936 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 542, 350, 312, 223, 936. So, keep reading to learn more.
Given numbers are 542,350,312,223,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,350,312,223,936 is 9898925400.
Find LCM of 542,350,312,223,936 with Prime Factorization
| 2 | 542, 350, 312, 223, 936 |
| 2 | 271, 175, 156, 223, 468 |
| 2 | 271, 175, 78, 223, 234 |
| 3 | 271, 175, 39, 223, 117 |
| 13 | 271, 175, 13, 223, 39 |
| 271, 175, 1, 223, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 271 x 175 x 1 x 223 x 3 = 9898925400
Therefore, the lowest common multiple of 542,350,312,223,936 is 9898925400.
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.
542 x 350 x 312 x 223 x 936 = 12353858899200
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.
542 : 1, 2, 271, 542
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
223 : 1, 223
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,350,312,223,936, is 1.
Now, the common factors can be found like this.
542:2x 271
350:2x 5x 5x 7
312:2x 2x 2x 3x 13
223:223
936:2x 2x 2x 3x 3x 13
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 3x 13 = 1248
Therefore, the value for common factors is 1248.
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 = 12353858899200/(1x1248)
LCM = 12353858899200/1248
LCM = 9898925400
Thus, we can understand that the LCM of 542,350,312,223,936 is 9898925400.
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FAQs on LCM of 542, 350, 312, 223, 936
1. What is the LCM of 542, 350, 312, 223, 936?
Answer: LCM of 542, 350, 312, 223, 936 is 9898925400.
2. How to calculate the LCM of 542, 350, 312, 223, 936?
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 542, 350, 312, 223, 936.
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}.