LCM of 930, 350, 624, 217, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 930, 350, 624, 217, 444 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 930, 350, 624, 217, 444. So, keep reading to learn more.
Given numbers are 930,350,624,217,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,350,624,217,444 is 125252400.
Find LCM of 930,350,624,217,444 with Prime Factorization
| 2 | 930, 350, 624, 217, 444 |
| 2 | 465, 175, 312, 217, 222 |
| 3 | 465, 175, 156, 217, 111 |
| 5 | 155, 175, 52, 217, 37 |
| 7 | 31, 35, 52, 217, 37 |
| 31 | 31, 5, 52, 31, 37 |
| 1, 5, 52, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 31 x 1 x 5 x 52 x 1 x 37 = 125252400
Therefore, the lowest common multiple of 930,350,624,217,444 is 125252400.
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.
930 x 350 x 624 x 217 x 444 = 19569434976000
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
217 : 1, 7, 31, 217
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,350,624,217,444, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
350:2x 5x 5x 7
624:2x 2x 2x 2x 3x 13
217:7x 31
444:2x 2x 3x 37
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 3x 3x 5x 7x 31 = 156240
Therefore, the value for common factors is 156240.
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 = 19569434976000/(1x156240)
LCM = 19569434976000/156240
LCM = 125252400
Thus, we can understand that the LCM of 930,350,624,217,444 is 125252400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 930, 350, 624, 217, 444
1. What is the LCM of 930, 350, 624, 217, 444?
Answer: LCM of 930, 350, 624, 217, 444 is 125252400.
2. How to calculate the LCM of 930, 350, 624, 217, 444?
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 930, 350, 624, 217, 444.
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}.