LCM of 544, 840, 309, 558, 769
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 544, 840, 309, 558, 769 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 544, 840, 309, 558, 769. So, keep reading to learn more.
Given numbers are 544,840,309,558,769
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 544,840,309,558,769 is 420760257120.
Find LCM of 544,840,309,558,769 with Prime Factorization
| 2 | 544, 840, 309, 558, 769 |
| 2 | 272, 420, 309, 279, 769 |
| 2 | 136, 210, 309, 279, 769 |
| 3 | 68, 105, 309, 279, 769 |
| 68, 35, 103, 93, 769 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 68 x 35 x 103 x 93 x 769 = 420760257120
Therefore, the lowest common multiple of 544,840,309,558,769 is 420760257120.
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.
544 x 840 x 309 x 558 x 769 = 60589477025280
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.
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
309 : 1, 3, 103, 309
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
769 : 1, 769
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,840,309,558,769, is 1.
Now, the common factors can be found like this.
544:2x 2x 2x 2x 2x 17
840:2x 2x 2x 3x 5x 7
309:3x 103
558:2x 3x 3x 31
769:769
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 3 = 144
Therefore, the value for common factors is 144.
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 = 60589477025280/(1x144)
LCM = 60589477025280/144
LCM = 420760257120
Thus, we can understand that the LCM of 544,840,309,558,769 is 420760257120.
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FAQs on LCM of 544, 840, 309, 558, 769
1. What is the LCM of 544, 840, 309, 558, 769?
Answer: LCM of 544, 840, 309, 558, 769 is 420760257120.
2. How to calculate the LCM of 544, 840, 309, 558, 769?
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 544, 840, 309, 558, 769.
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}.